<SEC-DOCUMENT>0001193125-25-245264.txt : 20251021
<SEC-HEADER>0001193125-25-245264.hdr.sgml : 20251021
<ACCEPTANCE-DATETIME>20251021165655
ACCESSION NUMBER:		0001193125-25-245264
CONFORMED SUBMISSION TYPE:	424B2
PUBLIC DOCUMENT COUNT:		15
FILED AS OF DATE:		20251021
DATE AS OF CHANGE:		20251021

FILER:

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			GOLDMAN SACHS GROUP INC
		CENTRAL INDEX KEY:			0000886982
		STANDARD INDUSTRIAL CLASSIFICATION:	SECURITY BROKERS, DEALERS & FLOTATION COMPANIES [6211]
		ORGANIZATION NAME:           	02 Finance
		EIN:				134019460
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	FILING VALUES:
		FORM TYPE:		424B2
		SEC ACT:		1933 Act
		SEC FILE NUMBER:	333-284538
		FILM NUMBER:		251407755

	BUSINESS ADDRESS:	
		STREET 1:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282
		BUSINESS PHONE:		212-902-1000

	MAIL ADDRESS:	
		STREET 1:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	GOLDMAN SACHS GROUP INC/
		DATE OF NAME CHANGE:	20010104

FILER:

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			GS Finance Corp.
		CENTRAL INDEX KEY:			0001419828
		STANDARD INDUSTRIAL CLASSIFICATION:	SECURITY BROKERS, DEALERS & FLOTATION COMPANIES [6211]
		ORGANIZATION NAME:           	02 Finance
		EIN:				260785112
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1130

	FILING VALUES:
		FORM TYPE:		424B2
		SEC ACT:		1933 Act
		SEC FILE NUMBER:	333-284538-03
		FILM NUMBER:		251407756

	BUSINESS ADDRESS:	
		STREET 1:		C/O THE GOLDMAN SACHS GROUP, INC.
		STREET 2:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282
		BUSINESS PHONE:		212-902-1000

	MAIL ADDRESS:	
		STREET 1:		C/O THE GOLDMAN SACHS GROUP, INC.
		STREET 2:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282
</SEC-HEADER>
<DOCUMENT>
<TYPE>424B2
<SEQUENCE>1
<FILENAME>gs-20251021.htm
<DESCRIPTION>424B2
<TEXT>
<!-- DFIN ActiveDisclosure (SM) HTML Document - http://www.dfinsolutions.com/ --><!-- Creation Date :2025-10-21T12:37:22.4110+00:00 --><!-- Copyright (c) 2025 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;text-align:left;"><p style="font-size:16pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp.</font></p><p style="font-size:12pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$407,000</font></p><p style="font-size:12pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Autocallable Index-Linked Notes due 2028</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">guaranteed by</font></p><p style="font-size:16pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Goldman Sachs Group, Inc.</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Payment at Maturity: </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The amount that you will be paid on your notes at maturity, if they have not been automatically called, is based on the performance of the underlier with the lowest underlier return.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Automatic Call:</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> The notes will be automatically called on the call payment date if the closing level of each underlier is </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">greater than </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">or </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">equal to</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> its initial underlier level on the call observation date.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Interest: </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes do not bear interest.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">You should read the disclosure herein to better understand the terms and risks of your investment, including the credit risk of GS Finance Corp. and The Goldman Sachs Group, Inc. See page PS-8.</font></p>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Company (Issuer) / Guarantor:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp. / The Goldman Sachs Group, Inc.</font></p></td>
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     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Aggregate face amount:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$407,000</font></p></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Automatic call feature:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes will be automatically called if the closing level of each underlier is greater than or equal to its initial underlier level on the call observation date. In that case, the company will pay, for each $1,000 of the outstanding face amount, an amount in cash on the call payment date equal to $1,050.</font></p></td>
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     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">subject to the automatic call feature, on the stated maturity date, the company will pay, for each $1,000 face amount of the notes, an amount in cash equal to:</font></p></td>
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     <td style="padding-top:0in;text-indent:14.4pt;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">if the final underlier level of each underlier is greater than its initial underlier level: $1,000 + ($1,000 &times; the upside participation rate &times; the lesser performing underlier return); or</font></div></div></td>
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     <td style="padding-top:0in;text-indent:14.4pt;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">if the final underlier level of any underlier is equal to or less than its initial underlier level: $1,000</font></div></div></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Underliers:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">the Nasdaq-100 Index</font><font style="color:#000000;top:-4.221pt;white-space:pre-wrap;font-size:6.03pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;(current Bloomberg symbol: &#x201c;NDX Index&#x201d;) and the S&amp;P 500</font><font style="color:#000000;top:-4.221pt;white-space:pre-wrap;font-size:6.03pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;Index (current Bloomberg symbol: &#x201c;SPX Index&#x201d;)</font></p></td>
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     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Upside participation rate:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">100%</font></p></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Initial underlier level:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">24,817.95 with respect to the Nasdaq-100 Index</font><font style="color:#000000;top:-4.221pt;white-space:pre-wrap;font-size:6.03pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;and 6,664.01 with respect to the S&amp;P 500</font><font style="color:#000000;top:-4.221pt;white-space:pre-wrap;font-size:6.03pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;Index. The initial underlier level of each underlier is an intra-day level or the closing level of such underlier on the trade date</font></p></td>
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     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Final underlier level:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">with respect to an underlier, the closing level of such underlier on the determination date*</font></p></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Underlier return:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">with respect to an underlier: (its final underlier level - its initial underlier level) &divide; its initial underlier level</font></p></td>
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     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Lesser performing underlier return:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">the underlier return of the lesser performing underlier (the underlier with the lowest underlier return)</font></p></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Calculation agent:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Goldman Sachs &amp; Co. LLC (&#x201c;GS&amp;Co.&#x201d;)</font></p></td>
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     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">CUSIP / ISIN:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">40058QGV5 / US40058QGV59</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">* subject to adjustment as described in the accompanying general terms supplement</font></p>
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     <td style="border-top:0.5pt solid #4f81bd;padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Our estimated value of the notes on trade date / Additional amount / Additional amount end date:</font></p></td>
     <td style="border-top:0.5pt solid #4f81bd;padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$978 per $1,000 face amount, which is less than the original issue price. The additional amount is $22 and the additional amount end date is January 16, 2026. See &#x201c;The Estimated Value of Your Notes At the Time the Terms of Your Notes Are Set On the Trade Date Is Less Than the Original Issue Price Of Your Notes.&#x201d;</font></p></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-family:Arial;font-kerning:none;min-width:fit-content;">Original issue price</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-family:Arial;font-kerning:none;min-width:fit-content;">Underwriting discount</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-family:Arial;font-kerning:none;min-width:fit-content;">Net proceeds to the issuer</font></p></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">100% of the face amount</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">0.75% of the face amount</font><font style="color:#000000;top:-4.221pt;white-space:pre-wrap;font-size:6.03pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">1</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">99.25% of the face amount</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.03pt;font-family:Arial;font-kerning:none;min-width:fit-content;">1</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> See &#34;Supplemental Plan of Distribution; Conflicts of Interest&#34; for additional information regarding the fees comprising the underwriting discount.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Neither the Securities and Exchange Commission nor any other regulatory body has approved or disapproved of these securities or passed upon the accuracy or adequacy of this prospectus. Any representation to the contrary is a criminal offense. The notes are not bank deposits and are not insured by the Federal Deposit Insurance Corporation or any other governmental agency, nor are they obligations of, or guaranteed by, a bank.</font></p>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:14pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Goldman Sachs &amp; Co. LLC</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Pricing Supplement No. 20,244 dated October 17, 2025.</font></p></div>
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     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid #4f81bd;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Key Terms (continued)</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid #4f81bd;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Trade date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 17, 2025</font></p></td>
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     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Original issue date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 22, 2025</font></p></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Determination date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 17, 2028*</font></p></td>
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     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Stated maturity date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 20, 2028*</font></p></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Call observation date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 19, 2026*</font></p></td>
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     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Call payment date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 22, 2026*</font></p></td>
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  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">2</font></p></div>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The issue price, underwriting discount and net proceeds listed above relate to the notes we sell initially. We may decide to sell additional notes after the date of this pricing supplement, at issue prices and with underwriting discounts and net proceeds that differ from the amounts set forth above. The return (whether positive or negative) on your investment in notes will depend in part on the issue price you pay for such notes.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp. may use this prospectus in the initial sale of the notes. In addition, Goldman Sachs &amp; Co. LLC or any other affiliate of GS Finance Corp. may use this prospectus in a market-making transaction in a note after its initial sale. </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">Unless GS Finance Corp. or its agent informs the purchaser otherwise in the confirmation of sale, this prospectus is being used in a market-making transaction.</font></p></td>
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     <td style="border-top:0.5pt solid #000000;padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">About Your Prospectus</font></p></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes are part of the Medium-Term Notes, Series F program of GS Finance Corp. and are fully and unconditionally guaranteed by The Goldman Sachs Group, Inc. This prospectus includes this pricing supplement and the accompanying documents listed below. This pricing supplement constitutes a supplement to the documents listed below, does not set forth all of the terms of your notes and therefore should be read in conjunction with such documents:</font></p></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;text-indent:14.4pt;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><a href="https://www.sec.gov/Archives/edgar/data/886982/000095017025021722/gts_gs_2025_shelf.htm"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">General terms supplement no. 17,741 dated February 14, 2025</font></a></div></div></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;text-indent:14.4pt;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525211606/underlier_supplement_no.htm"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Underlier supplement no. 46 dated September 22, 2025</font></a></div></div></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;text-indent:14.4pt;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525027380/d891153d424b2.htm"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Prospectus supplement dated February 14, 2025</font></a></div></div></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;text-indent:14.4pt;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525027379/d860775d424b2.htm"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Prospectus dated February 14, 2025</font></a></div></div></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The information in this pricing supplement supersedes any conflicting information in the documents listed above. In addition, some of the terms or features described in the listed documents may not apply to your notes.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">We have not authorized anyone to provide any information or to make any representations other than those contained in or incorporated by reference in this pricing supplement and the accompanying documents listed above. We take no responsibility for, and can provide no assurance as to the reliability of, any other information that others may provide. This pricing supplement and the accompanying documents listed above are an offer to sell only the notes offered hereby, but only under circumstances and in jurisdictions where it is lawful to do so. The information contained in this pricing supplement and the accompanying documents listed above is current only as of the respective dates of such documents.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">We refer to the notes we are offering by this pricing supplement as the &#x201c;offered notes&#x201d; or the &#x201c;notes&#x201d;. Each of the offered notes has the terms described below. Please note that in this pricing supplement, references to &#x201c;GS Finance Corp.&#x201d;, &#x201c;we&#x201d;, &#x201c;our&#x201d; and &#x201c;us&#x201d; mean only GS Finance Corp. and do not include its subsidiaries or affiliates, references to &#x201c;The Goldman Sachs Group, Inc.&#x201d;, our parent company, mean only The Goldman Sachs Group, Inc. and do not include its subsidiaries or affiliates and references to &#x201c;Goldman Sachs&#x201d; mean The Goldman Sachs Group, Inc. together with its consolidated subsidiaries and affiliates, including us. The notes will be issued under the senior debt indenture, dated as of October 10, 2008, as supplemented by the First Supplemental Indenture, dated as of February 20, 2015, each among us, as issuer, The Goldman Sachs Group, Inc., as guarantor, and The Bank of New York Mellon, as trustee. This indenture, as so supplemented and as further supplemented thereafter, is referred to as the &#x201c;GSFC 2008 indenture&#x201d; in the accompanying prospectus supplement.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #000000;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes will be issued in book-entry form and represented by master note no. 3, dated March 22, 2021.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">HYPOTHETICAL EXAMPLES</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The following examples are provided for purposes of illustration only. The examples should not be taken as an indication or prediction of future investment results and merely are intended to illustrate (i) the impact that the various hypothetical closing levels of the underliers on the call observation date could have on the amount payable, if any, on the call payment date and (ii) the impact that the various hypothetical closing levels of the lesser performing underlier on the determination date could have on the cash settlement amount at maturity assuming all other variables remain constant and are not intended to predict the closing levels of the underliers.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The information in the following examples reflects hypothetical rates of return on the offered notes assuming that they are purchased on the original issue date at the face amount and held to the call payment date or the stated maturity date. If you sell your notes in a secondary market prior to the call payment date or the stated maturity date, as the case may be, your return will depend upon the market value of your notes at the time of sale, which may be affected by a number of factors that are not reflected in the examples below, such as interest rates, the volatility of the underliers, the creditworthiness of GS Finance Corp., as issuer, and the creditworthiness of The Goldman Sachs Group, Inc., as guarantor. The information in the examples also reflects the key terms and assumptions in the box below.</font></p></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:center;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:right;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">100%</font></p></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes are not automatically called, unless otherwise indicated below</font></p></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Neither a market disruption event nor a non-trading day occurs on the originally scheduled call observation date or the originally scheduled determination date</font></p></td>
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     <td style="padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">No change in or affecting any of the underlier stocks or the method by which the applicable underlier sponsor calculates any underlier</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">For these reasons, the actual performance of the underliers over the life of your notes, the actual underlier levels on the call observation date or the determination date, as well as the amount payable on the call payment date or at maturity, if any, may bear little relation to the hypothetical examples shown below or to the historical underlier levels shown elsewhere in this pricing supplement.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Also, the hypothetical examples shown below do not take into account the effects of applicable taxes.</font></p></td>
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  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">4</font></p></div>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The example below shows the hypothetical amount that we would pay on the call payment date with respect to each $1,000 face amount of the notes if the hypothetical closing level of each underlier was greater than or equal to its initial underlier level on the call observation date.</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Your notes are automatically called on the call observation date.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;If, for example, the closing level of each underlier was determined to be 110% of its initial underlier level, your notes would be automatically called and the amount in cash that we would deliver for your notes on the call payment date would be 105% of the face amount of your notes or $1,050.00 for each $1,000 of the face amount of your notes.</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">5</font></p></div>
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  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
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     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Hypothetical Payment at Maturity</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">If the notes are not automatically called on the call observation date</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">, the cash settlement amount that we would deliver for each $1,000 face amount of your notes on the stated maturity date will depend on the performance of the lesser performing underlier on the determination date, as shown in the table below. The table below assumes that </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">the notes have not been automatically called on the call observation date.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The levels in the left column of the table below represent hypothetical final underlier levels of the lesser performing underlier and are expressed as percentages of the initial underlier level of the lesser performing underlier. The amounts in the right column represent the hypothetical cash settlement amounts, based on the corresponding hypothetical final underlier level of the lesser performing underlier, and are expressed as percentages of the face amount of a note (rounded to the nearest one-thousandth of a percent). Thus, a hypothetical cash settlement amount of 100.000% means that the value of the cash payment that we would deliver for each $1,000 of the outstanding face amount of the offered notes on the stated maturity date would equal 100.000% of the face amount of a note, based on the corresponding hypothetical final underlier level of the lesser performing underlier and the assumptions noted above.</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
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     <td style="width:3.779861111111111in;box-sizing:content-box;"></td>
     <td style="width:3.779861111111111in;box-sizing:content-box;"></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Hypothetical Final Underlier Level</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">of the Lesser Performing Underlier (as Percentage of Its Initial Underlier Level)</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Hypothetical Cash Settlement Amount</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">(as Percentage of Face Amount)</font></p></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">200.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">200.000%</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">175.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">175.000%</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">150.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">150.000%</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">125.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">125.000%</font></p></td>
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    <tr style="height:10pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">75.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">50.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">25.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
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    <tr style="height:10pt;background-color:#dbe2ef;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">0.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.014in;vertical-align:top;padding-bottom:0in;padding-right:0.014in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
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     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">As shown in the table above, if the notes have not been automatically called on the call observation date:</font></p></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If the final underlier level of the lesser performing underlier were determined to be 25.000% of its initial underlier level, the cash settlement amount that we would deliver on your notes at maturity would be 100.000% of the face amount of your notes.</font></div></div></td>
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     <td style="padding-top:0.028in;text-indent:38.15pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="margin-left:4.398%;text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.7896905922470236%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x25cb;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">As a result, if you purchased your notes on the original issue date at the face amount and held them to the stated maturity date, you would receive no return on your investment.</font></div></div></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">6</font></p></div>
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  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The following chart shows a graphical illustration of the hypothetical cash settlement amounts (expressed as percentages of the face amount of your notes) that we would pay on your notes on the stated maturity date, if the final underlier level of the lesser performing underlier (expressed as percentages of its initial underlier level) were any of the hypothetical levels shown on the horizontal axis. The chart shows that any hypothetical final underlier level of the lesser performing underlier of less than 100.000% (the section left of the 100.000% marker on the horizontal axis) would result in a hypothetical cash settlement amount of 100.000% of the face amount of your notes.</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><img src="img42159328_1.jpg" alt="img42159328_1.jpg" style="width:497px;height:380px;"></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">7</font></p></div>
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  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">SELECTED RISK FACTORS</font></p>
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     <td style="border-top:0.5pt solid #000000;padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #000000;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">An investment in your notes is subject to the risks summarized below. These risks, as well as other risks and considerations, are explained in more detail in the accompanying documents listed above under &#x201c;About Your Prospectus&#x201d;. You should carefully review these risks and considerations as well as the terms of the notes described herein and in such accompanying documents. Your notes are a riskier investment than ordinary debt securities. Also, your notes are not equivalent to investing directly in the underlier stocks (i.e., with respect to an underlier to which your notes are linked, the stocks comprising such underlier). You should carefully consider whether the offered notes are appropriate given your particular circumstances.</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p>
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     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #4f81bd;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Risks Related to Structure, Valuation and Secondary Market Sales</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Estimated Value of Your Notes At the Time the Terms of Your Notes Are Set On the Trade Date (as Determined By Reference to Pricing Models Used By GS&amp;Co.) Is Less Than the Original Issue Price Of Your Notes</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The original issue price for your notes exceeds the estimated value of your notes as of the time the terms of your notes are set on the trade date, as determined by reference to GS&amp;Co.&#x2019;s pricing models and taking into account our credit spreads. After the trade date, the estimated value as determined by reference to these models will be affected by changes in market conditions, the creditworthiness of GS Finance Corp., as issuer, the creditworthiness of The Goldman Sachs Group, Inc., as guarantor, and other relevant factors. The price at which GS&amp;Co. would initially buy or sell your notes (if GS&amp;Co. makes a market, which it is not obligated to do), and the value that GS&amp;Co. will initially use for account statements and otherwise, also exceeds the estimated value of your notes as determined by reference to these models. As agreed by GS&amp;Co. and the distribution participants, this excess (i.e., the additional amount set forth on the cover of this pricing supplement) will decline to zero on a straight line basis over the period from the date hereof through the additional amount end date set forth on the cover of this pricing supplement. Thereafter, if GS&amp;Co. buys or sells your notes it will do so at prices that reflect the estimated value determined by reference to such pricing models at that time. The price at which GS&amp;Co. will buy or sell your notes at any time also will reflect its then current bid and ask spread for similar sized trades of structured notes.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">In estimating the value of your notes as of the time the terms of your notes are set on the trade date, GS&amp;Co.&#x2019;s pricing models consider certain variables, including principally our credit spreads, interest rates (forecasted, current and historical rates), volatility, price-sensitivity analysis and the time to maturity of the notes. These pricing models are proprietary and rely in part on certain assumptions about future events, which may prove to be incorrect. As a result, the actual value you would receive if you sold your notes in the secondary market, if any, to others may differ, perhaps materially, from the estimated value of your notes determined by reference to our models due to, among other things, any differences in pricing models or assumptions used by others. See &#x201c;The Market Value of Your Notes May Be Influenced by Many Unpredictable Factors&#x201d; below.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The difference between the estimated value of your notes as of the time the terms of your notes are set on the trade date and the original issue price is a result of certain factors, including principally the underwriting discount and commissions, the expenses incurred in creating, documenting and marketing the notes, and an estimate of the difference between the amounts we pay to GS&amp;Co. and the amounts GS&amp;Co. pays to us in connection with your notes. We pay to GS&amp;Co. amounts based on what we would pay to holders of a non-structured note with a similar maturity. In return for such payment, GS&amp;Co. pays to us the amounts we owe under your notes.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">In addition to the factors discussed above, the value and quoted price of your notes at any time will reflect many factors and cannot be predicted. If GS&amp;Co. makes a market in the notes, the price quoted by GS&amp;Co. would reflect any changes in market conditions and other relevant factors, including any deterioration in our creditworthiness or perceived creditworthiness or the creditworthiness or perceived creditworthiness of The Goldman Sachs Group, Inc. These changes may adversely affect the value of your notes, including the price you may receive for your notes in any market making transaction. To the extent that GS&amp;Co. makes a market in the notes, the quoted price will reflect the estimated value determined by reference to GS&amp;Co.&#x2019;s pricing models at that time, plus or minus its then current bid and ask spread for similar sized trades of structured notes (and subject to the declining excess amount described above).</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Furthermore, if you sell your notes, you will likely be charged a commission for secondary market transactions, or the price will likely reflect a dealer discount. This commission or discount will further reduce the proceeds you would receive for your notes in a secondary market sale.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">There is no assurance that GS&amp;Co. or any other party will be willing to purchase your notes at any price and, in this regard, GS&amp;Co. is not obligated to make a market in the notes. See &#x201c;Additional Risk Factors Specific to the Notes &#x2014; Your Notes May Not Have an Active Trading Market&#x201d; in the accompanying general terms supplement.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Notes Are Subject to the Credit Risk of the Issuer and the Guarantor</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Investors are dependent on our ability and the ability of The Goldman Sachs Group, Inc., as guarantor of the notes, to pay all amounts due on the notes. Therefore, investors are subject to the credit risk, and to changes in the market&#x2019;s view of the creditworthiness, of the issuer and the guarantor. See &#x201c;Description of the Notes We May Offer &#x2014; Information About Our Medium-Term Notes, Series F Program &#x2014; How the Notes Rank Against Other Debt&#x201d; in the accompanying prospectus</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
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  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">8</font></p></div>
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  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
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     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">supplement and &#x201c;Description of Debt Securities We May Offer &#x2014; Guarantee by The Goldman Sachs Group, Inc.&#x201d; in the accompanying prospectus.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">You May Receive Only the Face Amount of Your Notes at Maturity</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Assuming your notes are not automatically called, if the underlier return of any underlier is negative, the return on your notes will be limited to the face amount.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Even if the amount paid on your notes at maturity exceeds the face amount of your notes, the overall return you earn on your notes may be less than you would have earned by investing in a note with the same stated maturity that bears interest at the prevailing market rate.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Also, the market price of your notes prior to the call payment date or the stated maturity date, as the case may be, may be significantly lower than the purchase price you pay for your notes. Consequently, if you sell your notes before the stated maturity date, you may receive far less than the amount of your investment in the notes.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Your Notes Do Not Bear Interest</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">You will not receive any interest payments on your notes. The overall return you earn on your notes may be less than you would have earned by investing in a non-indexed debt security of comparable maturity that bears interest at a prevailing market rate.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Amount You Will Receive on the Call Payment Date Will Be Capped</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Even if the closing level of each underlier on the call observation date exceeds its initial underlier level, causing the notes to be automatically called on such day, you will not benefit from the increases in the closing levels of the underliers above their initial underlier levels on the call observation date. If your notes are automatically called on the call observation date, the payment you will receive for each $1,000 face amount of your notes on the call payment date is capped.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Your Notes Are Subject to Automatic Redemption</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">We will automatically call and redeem all, but not part, of your notes on the call payment date if, as measured on the call observation date, the closing level of each underlier is greater than or equal to its initial underlier level. Therefore, the term for your notes may be significantly reduced. You may not be able to reinvest the proceeds from an investment in the notes at a comparable return for a similar level of risk in the event the notes are automatically called prior to maturity. For the avoidance of doubt, if your notes are automatically called, no discounts, commissions or fees described herein will be rebated or reduced.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Cash Settlement Amount Will Be Based Solely on the Lesser Performing Underlier</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">If the notes are not automatically called, the cash settlement amount will be based on the lesser performing underlier without regard to the performance of any other underlier, even if there is an increase in the level of any other underlier.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">You Have No Shareholder Rights or Rights to Receive Any Underlier Stock</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Investing in your notes will not make you a holder of any of the underlier stocks. Neither you nor any other holder or owner of your notes will have any rights with respect to the underlier stocks, including any voting rights, any rights to receive dividends or other distributions, any rights to make a claim against the underlier stocks or any other rights of a holder of the underlier stocks. Payments on your notes will be made in cash and you will have no right to receive delivery of any underlier stocks.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Market Value of Your Notes May Be Influenced by Many Unpredictable Factors</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">When we refer to the market value of your notes, we mean the value that you could receive for your notes if you chose to sell them in the open market before the stated maturity date. A number of factors, many of which are beyond our control, will influence the market value of your notes, including:</font></p></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the levels of the underliers;</font></div></div></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the volatility &#x2014; i.e., the frequency and magnitude of changes &#x2014; in the closing levels of the underliers;</font></div></div></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the dividend rates of the underlier stocks;</font></div></div></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">economic, financial, regulatory, political, military, public health and other events that affect stock markets generally and the underlier stocks, and which may affect the closing levels of the underliers;</font></div></div></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">interest rates and yield rates in the market;</font></div></div></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the time remaining until your notes mature; and</font></div></div></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">our creditworthiness and the creditworthiness of The Goldman Sachs Group, Inc., whether actual or perceived, and including actual or anticipated upgrades or downgrades in our credit ratings or the credit ratings of The Goldman Sachs Group, Inc. or changes in other credit measures.</font></div></div></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Without limiting the foregoing, the market value of your notes may be negatively impacted by increasing interest rates. Such adverse impact of increasing interest rates could be significantly enhanced in notes with longer-dated maturities, the market values of which are generally more sensitive to increasing interest rates.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">These factors may influence the market value of your notes if you sell your notes before maturity, including the price you may receive for your notes in any market making transaction. If you sell your notes prior to maturity, you may receive less</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
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  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">9</font></p></div>
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  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">than the face amount of your notes. You cannot predict the future performance of the underliers based on their historical performance.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #4f81bd;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Additional Risks Related to the Nasdaq-100 Index</font><font style="color:#4f81bd;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">As Compared to Other Index Sponsors, Nasdaq, Inc. Retains Significant Control and Discretionary Decision-Making Over the Nasdaq-100 Index</font><font style="color:#4f81bd;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">, Which May Have an Adverse Effect on the Level of the Nasdaq-100 Index</font><font style="color:#4f81bd;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;and on Your Notes</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Pursuant to the Nasdaq-100 Index</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;methodology, Nasdaq, Inc. retains the right, from time to time, to exercise reasonable discretion as it deems appropriate in order to ensure Nasdaq-100 Index</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;integrity, including, but not limited to, changes to quantitative inclusion criteria. Nasdaq, Inc. may also, due to special circumstances, apply discretionary adjustments to ensure and maintain quality of the Nasdaq-100 Index</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">. Although it is unclear how and to what extent this discretion could or would be exercised, it is possible that it could be exercised by Nasdaq, Inc. in a manner that materially and adversely affects the level of the Nasdaq-100 Index</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;and therefore your notes. Nasdaq, Inc. is not obligated to, and will not, take account of your interests in exercising the discretion described above.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">An Investment in the Offered Notes Is Subject to Risks Associated with Foreign Securities Markets</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The value of your notes is linked to one or more underliers that are comprised of stocks from one or more foreign securities markets. Investments linked to the value of foreign equity securities involve particular risks, including with respect to liquidity and volatility. Both government intervention in a foreign securities market, either directly or indirectly, and cross-shareholdings in foreign companies, may affect trading prices and volumes in that market. Also, there is generally less publicly available information about foreign companies than about those U.S. companies that are subject to the reporting requirements of the U.S. Securities and Exchange Commission. Further, foreign companies are subject to accounting, auditing and financial reporting standards and requirements that differ from those applicable to U.S. reporting companies.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The prices of securities in a foreign country are subject to political, economic, financial and social factors that are unique to such foreign country's geographical region. Further, geographical regions may react to global factors in different ways, which may cause the prices of securities in a foreign securities market to fluctuate in a way that differs from those of securities in the U.S. securities market or other foreign securities markets.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #4f81bd;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Risks Related to Tax</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Your Notes will be Treated as Debt Instruments Subject to Special Rules Governing Contingent Payment Debt Instruments for U.S. Federal Income Tax Purposes</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes will be treated as debt instruments subject to special rules governing contingent payment debt instruments for U.S. federal income tax purposes. If you are a U.S. individual or taxable entity, you generally will be required to pay taxes on ordinary income from the notes over their term based on the comparable yield for the notes, even though you generally will not receive any payments from us until maturity. This comparable yield is determined solely to calculate the amount on which you will be taxed prior to maturity and is neither a prediction nor a guarantee of what the actual yield will be. In addition, any gain you may recognize on the sale, exchange, redemption or maturity of the notes will be taxed as ordinary interest income. If you are a secondary purchaser of the notes, the tax consequences to you may be different. Please see &#x201c;Supplemental Discussion of U.S. Federal Income Tax Consequences&#x201d; below for a more detailed discussion. Please also consult your tax advisor concerning the U.S. federal income tax and any other applicable tax consequences to you of owning your notes in your particular circumstances.</font></p></td>
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  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">10</font></p></div>
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  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">THE UNDERLIERS</font></p>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Nasdaq-100 Index</font><font style="color:#4f81bd;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The Nasdaq-100 Index</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;is a modified market capitalization-weighted index that is designed to measure the performance of 100 of the largest Nasdaq listed non-financial stocks.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">For more details about the Nasdaq-100 Index</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">, the underlier sponsor and license agreement between the underlier sponsor and the issuer, see &#x201c;The Underliers &#x2014; Nasdaq-100 Index</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#x201d; in the accompanying underlier supplement.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The Corporations do not guarantee the accuracy and/or uninterrupted calculation of Nasdaq-100 Index</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;or any data included therein. The Corporations make no warranty, express or implied, as to results to be obtained by Licensee, owners of the product(s), or any other person or entity from the use of the Nasdaq-100 Index</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;or any data included therein. The Corporations make no express or implied warranties, and expressly disclaim all warranties of merchantability or fitness for a particular purpose or use with respect to the Nasdaq-100 Index</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;or any data included therein. Without limiting any of the foregoing, in no event shall the Corporations have any liability for any lost profits or special, incidental, punitive, indirect, or consequential damages, even if notified of the possibility of such damages.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">S&amp;P 500</font><font style="color:#4f81bd;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;Index</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The S&amp;P 500</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;Index includes a representative sample of 500 companies in leading industries of the U.S. economy and is intended to provide a performance benchmark for the large-cap U.S. equity markets.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">For more details about the S&amp;P 500</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;Index, the underlier sponsor and license agreement between the underlier sponsor and the issuer, see &#x201c;The Underliers &#x2014; S&amp;P 500</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;Index&#x201d; in the accompanying underlier supplement.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The S&amp;P 500</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;Index is a product of S&amp;P Dow Jones Indices LLC, and has been licensed for use by GS Finance Corp. (&#x201c;Goldman&#x201d;). Standard &amp; Poor&#x2019;s</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;and S&amp;P</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;are registered trademarks of Standard &amp; Poor&#x2019;s Financial Services LLC; Dow Jones</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;is a registered trademark of Dow Jones Trademark Holdings LLC (&#x201c;Dow Jones&#x201d;) and these trademarks have been licensed for use by S&amp;P Dow Jones Indices LLC and sublicensed for certain purposes by Goldman. Goldman&#x2019;s notes are not sponsored, endorsed, sold or promoted by S&amp;P Dow Jones Indices LLC, Dow Jones, Standard &amp; Poor&#x2019;s Financial Services LLC or any of their respective affiliates and neither S&amp;P Dow Jones Indices LLC, Dow Jones, Standard &amp; Poor&#x2019;s Financial Services LLC or any of their respective affiliates make any representation regarding the advisability of investing in such notes.</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">11</font></p></div>
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  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #4f81bd;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Historical Closing Levels of the Underliers</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The closing levels of the underliers have fluctuated in the past and may, in the future, experience significant fluctuations.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Before investing in the offered notes, you should consult publicly available information to determine the levels of each underlier between the date of this pricing supplement and the date of your purchase of the offered notes. You should not take the historical levels of an underlier as an indication of the future performance of that underlier.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The graphs below show the daily historical closing levels of each underlier from January 2, 2020 through October 17, 2025. We obtained the closing levels in the graphs below from Bloomberg Financial Services, without independent verification.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Historical Performance of the Nasdaq-100 Index</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><img src="img42159328_2.jpg" alt="img42159328_2.jpg" style="width:663px;height:367px;"></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Historical Performance of the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Index</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><img src="img42159328_3.jpg" alt="img42159328_3.jpg" style="width:663px;height:367px;"></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">12</font></p></div>
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  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">SUPPLEMENTAL DISCUSSION OF U.S. FEDERAL INCOME TAX CONSEQUENCES</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The following section supplements the discussion of U.S. federal income taxation in the accompanying prospectus supplement.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The following section is the opinion of Sidley Austin </font><font style="font-variant:small-caps;color:#000000;white-space:pre-wrap;font-size:6pt;font-family:Arial;font-kerning:none;min-width:fit-content;">LLP</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">, counsel to GS Finance Corp. and The Goldman Sachs Group, Inc. It applies to you only if you hold your notes as a capital asset for tax purposes. This section does not apply to you if you are a member of a class of holders subject to special rules, such as:</font></p></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a dealer in securities or currencies;</font></div></div></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a trader in securities that elects to use a mark-to-market method of accounting for your securities holdings;</font></div></div></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a bank;</font></div></div></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a regulated investment company;</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a life insurance company;</font></div></div></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a tax-exempt organization;</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a partnership;</font></div></div></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">an accrual method taxpayer subject to special tax accounting rules as a result of its use of financial statements;</font></div></div></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a person that owns the notes as a hedge or that is hedged against interest rate risks;</font></div></div></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a person that owns the notes as part of a straddle or conversion transaction for tax purposes; or</font></div></div></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a United States holder (as defined below) whose functional currency for tax purposes is not the U.S. dollar.</font></div></div></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">This section is based on the U.S. Internal Revenue Code of 1986, as amended, its legislative history, existing and proposed regulations under the Internal Revenue Code, published rulings and court decisions, all as currently in effect. These laws are subject to change, possibly on a retroactive basis.</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="border-top:0.5pt solid #000000;padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #000000;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">You should consult your tax advisor concerning the U.S. federal income tax and other tax consequences of your investment in the notes, including the application of state, local or other tax laws and the possible effects of changes in federal or other tax laws.</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">United States Holders</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">This subsection describes the tax consequences to a United States holder. You are a United States holder if you are a beneficial owner of the notes and you are:</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a citizen or resident of the United States;</font></div></div></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a domestic corporation;</font></div></div></td>
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     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">an estate whose income is subject to U.S. federal income tax regardless of its source; or</font></div></div></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a trust if a United States court can exercise primary supervision over the trust&#x2019;s administration and one or more United States persons are authorized to control all substantial decisions of the trust.</font></div></div></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">If you are not a United States holder, this section does not apply to you and you should refer to &#x201c;&#x2014; Non-United States Holders&#x201d; below.</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Your notes will be treated as debt instruments subject to special rules governing contingent payment debt instruments for U.S. federal income tax purposes. Under those rules, the amount of interest you are required to take into account for each accrual period will be determined by constructing a projected payment schedule for your notes and applying rules similar to those for accruing original issue discount on a hypothetical noncontingent debt instrument with that projected payment schedule. This method is applied by first determining the yield at which we would issue a noncontingent fixed rate debt instrument with terms and conditions similar to your notes (the &#x201c;comparable yield&#x201d;) and then determining as of the issue date a payment schedule that would produce the comparable yield. These rules will generally have the effect of requiring you to include amounts in income in respect of your notes over their term based on the comparable yield for the notes, even though you will not receive any payments from us until maturity.</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">It is not entirely clear how, under the rules governing contingent payment debt instruments, the maturity date for debt instruments (such as your notes) that provide for the possibility of early redemption should be determined for purposes of computing the comparable yield and projected payment schedule. It would be reasonable, however, to compute the comparable yield and projected payment schedule for your notes (and we intend to make the computation in such a manner) based on the assumption that your notes will remain outstanding until the stated maturity date.</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">We have determined that the comparable yield for the notes is equal to 4.05% per annum, compounded semi-annually, with a projected payment at maturity of $1,129.57 based on an investment of $1,000.</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">13</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Based on this comparable yield, if you are an initial holder that holds a note until maturity and you pay your taxes on a calendar year basis, we have determined that you would be required to report the following amounts as ordinary income, not taking into account any positive or negative adjustments you may be required to take into account based on the actual payments on the notes, from the note each year:</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:0;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
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     <td style="width:2.2659722222222225in;box-sizing:content-box;"></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="border-top:0.5pt solid #000000;padding-top:0.028in;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #000000;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Accrual Period</font></p></td>
     <td style="border-top:0.5pt solid #000000;padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #000000;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Interest Deemed to Accrue During Accrual Period (per $1,000 note)</font></p></td>
     <td style="border-top:0.5pt solid #000000;padding-top:0.028in;border-right:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #000000;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Total Interest Deemed to Have Accrued from Original Issue Date (per $1,000 note) as of End of Accrual Period</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:0;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
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     <td style="width:3.023611111111111in;box-sizing:content-box;"></td>
     <td style="width:2.2680555555555557in;box-sizing:content-box;"></td>
     <td style="width:2.2680555555555557in;box-sizing:content-box;"></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">October 22, 2025 through December 31, 2025</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;&#160;$7.88</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;&#160;&#160;&#160;$7.88</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:0;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
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     <td style="width:3.023611111111111in;box-sizing:content-box;"></td>
     <td style="width:2.2680555555555557in;box-sizing:content-box;"></td>
     <td style="width:2.2680555555555557in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">January 1, 2026 through December 31, 2026</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$41.81</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;&#160;$49.69</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:0;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:3.023611111111111in;box-sizing:content-box;"></td>
     <td style="width:2.2680555555555557in;box-sizing:content-box;"></td>
     <td style="width:2.2680555555555557in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">January 1, 2027 through December 31, 2027</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$43.55</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;&#160;$93.24</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:0;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:3.023611111111111in;box-sizing:content-box;"></td>
     <td style="width:2.2680555555555557in;box-sizing:content-box;"></td>
     <td style="width:2.2680555555555557in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">January 1, 2028 through October 20, 2028</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$36.33</font></p></td>
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$129.57</font></p></td>
    </tr>
   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:0;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">You are required to use the comparable yield and projected payment schedule that we compute in determining your interest accruals in respect of your notes, unless you timely disclose and justify on your U.S. federal income tax return the use of a different comparable yield and projected payment schedule.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="border-top:0.5pt solid #000000;padding-top:0.028in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;border-bottom:0.5pt solid #000000;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">The comparable yield and projected payment schedule are not provided to you for any purpose other than the determination of your interest accruals in respect of your notes, and we make no representation regarding the amount of contingent payments with respect to your notes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">If you purchase your notes at a price other than their adjusted issue price determined for tax purposes, you must determine the extent to which the difference between the price you paid for your notes and their adjusted issue price is attributable to a change in expectations as to the projected payment schedule, a change in interest rates, or both, and reasonably allocate the difference accordingly. The adjusted issue price of your notes will equal your notes&#x2019; original issue price plus any interest deemed to be accrued on your notes (under the rules governing contingent payment debt instruments) as of the time you purchase your notes. The original issue price of your notes will be the first price at which a substantial amount of the notes is sold to persons other than bond houses, brokers or similar persons or organizations acting in the capacity of underwriters, placement agents or wholesalers. Therefore, you may be required to make the adjustments described above even if you purchase your notes in the initial offering if you purchase your notes at a price other than the issue price.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">If the adjusted issue price of your notes is greater than the price you paid for your notes, you must make positive adjustments increasing (i) the amount of interest that you would otherwise accrue and include in income each year, and (ii) the amount of ordinary income (or decreasing the amount of ordinary loss) recognized upon maturity by the amounts allocated under the previous paragraph to each of interest and the projected payment schedule; if the adjusted issue price of your notes is less than the price you paid for your notes, you must make negative adjustments, decreasing (i) the amount of interest that you must include in income each year, and (ii) the amount of ordinary income (or increasing the amount of ordinary loss) recognized upon maturity by the amounts allocated under the previous paragraph to each of interest and the projected payment schedule. Adjustments allocated to the interest amount are not made until the date the daily portion of interest accrues.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Because any Form 1099-OID that you receive will not reflect the effects of positive or negative adjustments resulting from your purchase of notes at a price other than the adjusted issue price determined for tax purposes, you are urged to consult with your tax advisor as to whether and how adjustments should be made to the amounts reported on any Form 1099-OID.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">You will recognize gain or loss upon the sale, exchange, redemption or maturity of your notes in an amount equal to the difference, if any, between the cash amount you receive at such time and your adjusted basis in your notes. In general, your adjusted basis in your notes will equal the amount you paid for your notes, increased by the amount of interest you previously accrued with respect to your notes (in accordance with the comparable yield and the projected payment schedule for your notes) and increased or decreased by the amount of any positive or negative adjustment, respectively, that you are required to make if you purchase your notes at a price other than the adjusted issue price determined for tax purposes (as described in the accompanying prospectus supplement).</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Any gain you recognize upon the sale, exchange, redemption or maturity of your notes will be ordinary interest income. Any loss you recognize at such time will be ordinary loss to the extent of interest you included as income in the current or previous taxable years in respect of your notes, and thereafter, capital loss. If you are a noncorporate holder, you would generally be able to use such ordinary loss to offset your income only in the taxable year in which you recognize the ordinary loss and would generally not be able to carry such ordinary loss forward or back to offset income in other taxable years.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Non-United States Holders</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">If you are a non-United States holder, please see the discussion under &#x201c;United States Taxation &#x2014; Taxation of Debt Securities &#x2014; Non-United States Holders&#x201d; in the accompanying prospectus for a description of the tax consequences</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
    </tr>
   </table></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">14</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
    <tr style="visibility:collapse;">
     <td style="width:7.559722222222222in;box-sizing:content-box;"></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">relevant to you. You are a non-United States holder if you are the beneficial owner of the notes and are, for U.S. federal income tax purposes:</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a nonresident alien individual;</font></div></div></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a foreign corporation; or</font></div></div></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;text-indent:14.4pt;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><div class="item-list-element-wrapper" style="text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.667%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.667%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">an estate or trust that in either case is not subject to U.S. federal income tax on a net income basis on income or gain from the notes.</font></div></div></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">The Treasury Department has issued regulations under which amounts paid or deemed paid on certain financial instruments (&#x201c;871(m) financial instruments&#x201d;) that are treated as attributable to U.S.-source dividends could be treated, in whole or in part depending on the circumstances, as a &#x201c;dividend equivalent&#x201d; payment that is subject to tax at a rate of 30% (or a lower rate under an applicable treaty), which in the case of amounts you receive upon the sale, exchange, redemption or maturity of your notes, could be collected via withholding. If these regulations were to apply to the notes, we may be required to withhold such taxes if any U.S.-source dividends are paid on the stocks included in the underliers during the term of the notes. We could also require you to make certifications (e.g., an applicable Internal Revenue Service Form W-8) prior to the</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">maturity of the notes in order to avoid or minimize withholding obligations, and we could withhold accordingly (subject to your potential right to claim a refund from the Internal Revenue Service) if such certifications were not received or were not satisfactory. If withholding was required, we would not be required to pay any additional amounts with respect to amounts so withheld.</font></p></td>
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    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">These regulations generally will apply to 871(m) financial instruments (or a combination of financial instruments treated as having been entered into in connection with each other) issued (or significantly modified and treated as retired and reissued) on or after January 1, 2027, but will also apply to certain 871(m) financial instruments (or a combination of financial instruments treated as having been entered into in connection with each other) that have a delta (as defined in the applicable Treasury regulations) of one and are issued (or significantly modified and treated as retired and reissued) on or after January 1, 2017. In addition, these regulations will not apply to financial instruments that reference a &#x201c;qualified index&#x201d; (as defined in the regulations). We have determined that, as of the issue date of your notes, your notes will not be subject to withholding under these rules. In certain limited circumstances, however, you should be aware that it is possible for non-United States holders to be liable for tax under these rules with respect to a combination of transactions treated as having been entered into in connection with each other even when no withholding is required. You should consult your tax advisor concerning these regulations, subsequent official guidance and regarding any other possible alternative characterizations of your notes for U.S. federal income tax purposes.</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Foreign Account Tax Compliance Act (FATCA) Withholding</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Pursuant to Treasury regulations, Foreign Account Tax Compliance Act (FATCA) withholding (as described in &#x201c;United States Taxation&#x2014;Taxation of Debt Securities&#x2014;Foreign Account Tax Compliance Act (FATCA) Withholding&#x201d; in the accompanying prospectus) will generally apply to obligations that are issued on or after July 1, 2014; therefore, the notes will generally be subject to the FATCA withholding rules.</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:justify;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.2in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">15</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.2in;z-index:2;min-height:0.47in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;">
   <table style="border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#4f81bd;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">SUPPLEMENTAL PLAN OF DISTRIBUTION; CONFLICTS OF INTEREST</font></p></td>
    </tr>
    <tr style="height:10pt;word-break:break-word;white-space:pre-wrap;">
     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">See &#x201c;Supplemental Plan of Distribution&#x201d; in the accompanying general terms supplement and &#x201c;Plan of Distribution &#x2014; Conflicts of Interest&#x201d; in the accompanying prospectus.</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp. will sell to GS&amp;Co., and GS&amp;Co. will purchase from GS Finance Corp., the aggregate face amount of the offered notes specified on the front cover of this pricing supplement. GS&amp;Co. proposes initially to offer the notes to the public at the original issue price set forth on the cover page of this pricing supplement. GS&amp;Co. will pay a fee of 0.75% of the face amount to an affiliate of the dealer in connection with certain services provided directly by such affiliate to the dealer. GS&amp;Co. is an affiliate of GS Finance Corp. and The Goldman Sachs Group, Inc. and, as such, will have a &#x201c;conflict of interest&#x201d; in this offering of notes within the meaning of Financial Industry Regulatory Authority, Inc. (FINRA) Rule 5121. Consequently, this offering of notes will be conducted in compliance with the provisions of FINRA Rule 5121. GS&amp;Co. will not be permitted to sell notes in this offering to an account over which it exercises discretionary authority without the prior specific written approval of the account holder. We have been advised that GS&amp;Co. will also pay a fee to iCapital Markets LLC, a broker-dealer in which an affiliate of GS Finance Corp. holds an indirect minority equity interest, for services it is providing in connection with this offering.</font></p></td>
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     <td style="padding-top:0.028in;padding-left:0.028in;vertical-align:top;padding-bottom:0.028in;padding-right:0.028in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">We will deliver the notes against payment therefor in New York, New York on the original issue date set forth on the cover page of this pricing supplement. Under Rule 15c6-1 of the Securities Exchange Act of 1934, trades in the secondary market generally are required to settle in one business day, unless the parties to any such trade expressly agree otherwise. Accordingly, purchasers who wish to trade notes on any date prior to one business day before delivery will be required to specify alternative settlement arrangements to prevent a failed settlement.</font></p></td>
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     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">In the opinion of Sidley Austin </font><font style="font-variant:small-caps;color:#000000;white-space:pre-wrap;font-size:6pt;font-family:Arial;font-kerning:none;min-width:fit-content;">LLP</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">, as counsel to GS Finance Corp. and The Goldman Sachs Group, Inc., when the notes offered by this pricing supplement have been executed and issued by GS Finance Corp., such notes have been authenticated by the trustee pursuant to the indenture, and such notes have been delivered against payment as contemplated herein, (a) such notes will be valid and binding obligations of GS Finance Corp., enforceable in accordance with their terms, subject to applicable bankruptcy, insolvency and similar laws affecting creditors&#x2019; rights generally, concepts of reasonableness and equitable principles of general applicability (including, without limitation, concepts of good faith, fair dealing and the lack of bad faith), provided that such counsel expresses no opinion as to the effect of fraudulent conveyance, fraudulent transfer or similar provision of applicable law on the conclusions expressed above and (b) the guarantee with respect to such notes will be a valid and binding obligation of The Goldman Sachs Group, Inc., enforceable in accordance with its terms, subject to applicable bankruptcy, insolvency and similar laws affecting creditors' rights generally, concepts of reasonableness and equitable principles of general applicability (including, without limitation, concepts of good faith, fair dealing and the lack of bad faith), provided that such counsel expresses no opinion as to the effect of fraudulent conveyance, fraudulent transfer or similar provision of applicable law on the conclusions expressed above. This opinion is given as of the date hereof and is limited to the laws of the State of New York and the General Corporation Law of the State of Delaware as in effect on the date hereof. In addition, this opinion is subject to customary assumptions about the trustee&#x2019;s authorization, execution and delivery of the indenture and the genuineness of signatures and certain factual matters, all as stated in the letter of such counsel dated January 27, 2025, which has been filed as Exhibit 5.6 to the registration statement on Form S-3 filed with the Securities and Exchange Commission by GS Finance Corp. and The Goldman Sachs Group, Inc. on January 27, 2025.</font></p></td>
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<html>
<head>
<title></title>
<link rel="stylesheet" type="text/css" href="include/report.css">
<script type="text/javascript" src="Show.js">/* Do Not Remove This Comment */</script><script type="text/javascript">
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</head>
<body>
<span style="display: none;">v3.25.3</span><table class="report" border="0" cellspacing="2" id="id2">
<tr>
<th class="tl" colspan="1" rowspan="1"><div style="width: 200px;"><strong>Submission<br></strong></div></th>
<th class="th"><div>Oct. 21, 2025</div></th>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_SubmissionLineItems', window );"><strong>Submission [Line Items]</strong></a></td>
<td class="text">&#160;<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_dei_EntityCentralIndexKey', window );">Central Index Key</a></td>
<td class="text">0000886982<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_dei_EntityRegistrantName', window );">Registrant Name</a></td>
<td class="text">The Goldman Sachs Group, Inc.<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_RegnFileNb', window );">Registration File Number</a></td>
<td class="text">333-284538<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_FormTp', window );">Form Type</a></td>
<td class="text">S-3<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_SubmissnTp', window );">Submission Type</a></td>
<td class="text">424B2<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_FeeExhibitTp', window );">Fee Exhibit Type</a></td>
<td class="text">EX-FILING FEES<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_OfferingTableNa', window );">Offering Table N/A</a></td>
<td class="text">N/A<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_OffsetTableNa', window );">Offset Table N/A</a></td>
<td class="text">N/A<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_CombinedProspectusTableNa', window );">Combined Prospectus Table N/A</a></td>
<td class="text">N/A<span></span>
</td>
</tr>
</table>
<div style="display: none;">
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityCentralIndexKey">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- Definition</a><div><p>A unique 10-digit SEC-issued value to identify entities that have filed disclosures with the SEC. It is commonly abbreviated as CIK.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Exchange Act<br> -Number 240<br> -Section 12<br> -Subsection b-2<br></p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityCentralIndexKey</td>
</tr>
<tr>
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<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:centralIndexKeyItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityRegistrantName">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- Definition</a><div><p>The exact name of the entity filing the report as specified in its charter, which is required by forms filed with the SEC.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Exchange Act<br> -Number 240<br> -Section 12<br> -Subsection b-2<br></p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityRegistrantName</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:normalizedStringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_CombinedProspectusTableNa">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_CombinedProspectusTableNa</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:naItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_FeeExhibitTp">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_FeeExhibitTp</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:feeExhibitTypeItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_FormTp">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_FormTp</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:submissionTypeItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_OfferingTableNa">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_OfferingTableNa</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:naItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_OffsetTableNa">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_OffsetTableNa</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:naItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_RegnFileNb">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_RegnFileNb</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:fileNumberItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_SubmissionLineItems">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_SubmissionLineItems</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:stringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_SubmissnTp">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_SubmissnTp</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:submissionTypeItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
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</div>
</body>
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</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>9
<FILENAME>R2.htm
<DESCRIPTION>IDEA: XBRL DOCUMENT
<TEXT>
<html>
<head>
<title></title>
<link rel="stylesheet" type="text/css" href="include/report.css">
<script type="text/javascript" src="Show.js">/* Do Not Remove This Comment */</script><script type="text/javascript">
							function toggleNextSibling (e) {
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</head>
<body>
<span style="display: none;">v3.25.3</span><table class="report" border="0" cellspacing="2" id="id2">
<tr>
<th class="tl" colspan="1" rowspan="1"><div style="width: 200px;"><strong>Fees Summary<br></strong></div></th>
<th class="th">
<div>Oct. 21, 2025 </div>
<div>USD ($)</div>
</th>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_FeesSummaryLineItems', window );"><strong>Fees Summary [Line Items]</strong></a></td>
<td class="text">&#160;<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_NrrtvDsclsr', window );">Narrative Disclosure</a></td>
<td class="text"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:left;"><span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">The prospectus to which this Exhibit is attached is a final prospectus for the related offering.  The maximum aggregate offering price for such offering is $</span><span style="font-size:12pt;font-family:Times New Roman;color:#000000;white-space:pre-wrap;font-kerning:none;min-width:fit-content;">407,000</span><span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">.</span></p><span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_NrrtvMaxAggtOfferingPric', window );">Narrative - Max Aggregate Offering Price</a></td>
<td class="nump">$ 407,000<span></span>
</td>
</tr>
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      id="F_9596e371-eb9b-4ac6-bbc4-94155ce7eb83">&lt;p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:left;"&gt;&lt;span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"&gt;The prospectus to which this Exhibit is attached is a final prospectus for the related offering.  The maximum aggregate offering price for such offering is $&lt;/span&gt;&lt;span style="font-size:12pt;font-family:Times New Roman;color:#000000;white-space:pre-wrap;font-kerning:none;min-width:fit-content;"&gt;407,000&lt;/span&gt;&lt;span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"&gt;.&lt;/span&gt;&lt;/p&gt;</ffd:NrrtvDsclsr>
    <ffd:NrrtvMaxAggtOfferingPric
      contextRef="C_94e78fd2-68f7-442d-9f11-0df2ec76182e"
      decimals="0"
      id="F_a6f54232-0b18-46db-be28-6122b0f1ed46"
      unitRef="U_USD">407000</ffd:NrrtvMaxAggtOfferingPric>
</xbrl>
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</TEXT>
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</SEC-DOCUMENT>
