v3.23.2

Equity (Details) - USD ($)							1 Months Ended	9 Months Ended		12 Months Ended
		Nov. 08, 2022	Nov. 01, 2022	Jun. 21, 2022	Mar. 07, 2022	Mar. 07, 2022	Aug. 31, 2022	Mar. 31, 2023	Mar. 31, 2022	Jun. 30, 2022	Jun. 30, 2021
Equity (Details) [Line Items]
Reverse split, description						200:1
Share issued								365,091	73,517	0
Share issued value (in Dollars)								$ 492,434
Increased warrants shares		400,000		400,000
Issued warrants shares		2,100,000
Unvested warrants issued			2,100,000
Common Stock [Member]
Equity (Details) [Line Items]
Share issued								53,206,652
Number of common stock cancelled									(241,303)
Number of common stock shares								36,500
Common stock issued as collateral	[1]										250,000
Fractional Shares [Member]
Equity (Details) [Line Items]
Cancellation of common stock									241,303
Warrants [Member]
Equity (Details) [Line Items]
Increased warrants shares (in Dollars per share)		$ 0.01	$ 0.1				$ 0.01
Maximum [Member]
Equity (Details) [Line Items]
Increased warrants shares (in Dollars per share)		0.5
Minimum [Member]
Equity (Details) [Line Items]
Increased warrants shares (in Dollars per share)		$ 0.01
Equity [Member]
Equity (Details) [Line Items]
Reverse split, description					All share amounts have been adjusted to reflect a 1:200 reverse split effective March 7, 2022.	All share amounts have been adjusted to reflect a 1:200 reverse stock split of the authorized and outstanding shares of common stock that was effective March 7, 2022.
200:1 Reverse Split [Member]
Equity (Details) [Line Items]
Cancellation of common stock										241,303
Preferred Series F Stock [Member]
Equity (Details) [Line Items]
Share issued										11,414
Preferred Series E Stock [Member]
Equity (Details) [Line Items]
Number of common stock cancelled										500,000
Preferred Series G Stock [Member]
Equity (Details) [Line Items]
Share issued										51
Preferred Stock Series F [Member]
Equity (Details) [Line Items]
Share issued								23,540,539	11,414
Preferred Series E Stock [Member]
Equity (Details) [Line Items]
Cancellation of common stock									500,000
Structured Loan [Member]
Equity (Details) [Line Items]
Share issued										1,812,500
Purchase Agreement [Member]
Equity (Details) [Line Items]
Share issued										500,000
Equity Purchase Agreement [Member]
Equity (Details) [Line Items]
Share issued										1,125,000
Shares of common stock for services [Member]
Equity (Details) [Line Items]
Share issued										73,517
Investor [Member]
Equity (Details) [Line Items]
Share issued				600,000			1,000,000			600,000
Professional Consulting Services [Member]
Equity (Details) [Line Items]
Share issued								3,070,922			529,000
Share issued value (in Dollars)								$ 238,128			$ 2,778,550
Common Stock Debt Reduction [Member]
Equity (Details) [Line Items]
Share issued											6,914,064
Share issued value (in Dollars)											$ 13,031,235
Warrant holders [Member]
Equity (Details) [Line Items]
Share issued											1,248,961
Commitment Shares Under Equity Purchase Agreement [Member]
Equity (Details) [Line Items]
Share issued											3,279,693
Share issued value (in Dollars)											$ 13,601,329
Commitment Shares Under Equity Purchase Agreement [Member] | Common Stock [Member]
Equity (Details) [Line Items]
Share issued									312,500
Share issued value (in Dollars)									$ 356,250
Line of Credit [Member]
Equity (Details) [Line Items]
Common stock issued as collateral											250,000
Common stock issued as collateral								5,000,000
Classroom Technology Solutions, Inc. [Member]
Equity (Details) [Line Items]
Share issued											50,000
Share issued value (in Dollars)											$ 151,000
Equity Purchase Agreement [Member]
Equity (Details) [Line Items]
Share issued											0.5
Share issued value (in Dollars)										$ 600,000
Proceeds Under the Equity Purchase Agreement [Member]
Equity (Details) [Line Items]
Share issued								9,429,130	1,625,000
Share issued value (in Dollars)								$ 166,435	$ 2,643,500
Commitment Fees Under Notes Payable [Member]
Equity (Details) [Line Items]
Share issued								2,800,000
Charitable Donation [Member]
Equity (Details) [Line Items]
Share issued								350,000
Share issued value (in Dollars)								$ 52,500
[1] All share amounts, including those in the accompanying notes, have been adjusted to reflect a 1:200 reverse split effective March 7, 2022.

X

- Definition

Number of cencelled common stock representing fractional shares.

+ References

No definition available.

+ Details

Name:	gaxy_CancellationOfCommonStockRepresentingFractionalShares
Namespace Prefix:	gaxy_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Common stock issued as collateral.

+ References

No definition available.

+ Details

Name:	gaxy_CommonStockIssuedAsCollateral
Namespace Prefix:	gaxy_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Number of shares issues as collateral.

+ References

No definition available.

+ Details

Name:	gaxy_CommonStockIssuedAsCollateralShares
Namespace Prefix:	gaxy_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

Name:	gaxy_EquityDetailsLineItems
Namespace Prefix:	gaxy_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Number of sharesiIncreased warrants shares.

+ References

No definition available.

+ Details

Name:	gaxy_IncreasedWarrantsShares
Namespace Prefix:	gaxy_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

X

- Definition

The number of warrants or rights which entitle the entity to receive future services in exchange for the unvested, forfeitable warrants or rights.

+ References

No definition available.

+ Details

Name:	us-gaap_ClassOfWarrantOrRightUnissued
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Number of excess stock shares of an entity that have been sold or granted to shareholders.

+ References

No definition available.

+ Details

Name:	us-gaap_ExcessStockSharesIssued
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Number of new stock issued during the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-SubTopic 10
-Topic 505
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147481112/505-10-50-2

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 505
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147481004/946-505-50-2

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 3
-Subparagraph (SX 210.6-09(4)(b))
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147483575/946-220-S99-3

Reference 4: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 3
-Subparagraph (SX 210.6-03(i)(1))
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147479886/946-10-S99-3

Reference 5: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(28))
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1

Reference 6: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.3-04)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480008/505-10-S99-1

Reference 7: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1

+ Details

Name:	us-gaap_StockIssuedDuringPeriodSharesNewIssues
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Number of shares related to Restricted Stock Award forfeited during the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-SubTopic 10
-Topic 505
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147481112/505-10-50-2

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(28))
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.3-04)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480008/505-10-S99-1

Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1

+ Details

Name:	us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardForfeited
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Number of shares (or other type of equity) forfeited during the period.

+ References

No definition available.

+ Details

Name:	us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensationForfeited
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Equity impact of the value of new stock issued during the period. Includes shares issued in an initial public offering or a secondary public offering.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-SubTopic 10
-Topic 505
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147481112/505-10-50-2

Reference 2: http://www.xbrl.org/2003/role/exampleRef
-Topic 946
-SubTopic 830
-Name Accounting Standards Codification
-Section 55
-Paragraph 11
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480167/946-830-55-11

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 205
-Name Accounting Standards Codification
-Section 45
-Paragraph 4
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480767/946-205-45-4

Reference 4: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 505
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147481004/946-505-50-2

Reference 5: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 3
-Subparagraph (SX 210.6-09(4)(b))
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147483575/946-220-S99-3

Reference 6: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(28))
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1

Reference 7: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.3-04)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480008/505-10-S99-1

Reference 8: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1

+ Details

Name:	us-gaap_StockIssuedDuringPeriodValueNewIssues
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Description of the reverse stock split arrangement. Also provide the retroactive effect given by the reverse split that occurs after the balance sheet date but before the release of financial statements.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 4
-Subparagraph (SAB Topic 4.C)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480008/505-10-S99-4

+ Details

Name:	us-gaap_StockholdersEquityReverseStockSplit
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Per share increase in exercise price of warrant. Excludes change due to standard antidilution provision.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147481112/505-10-50-3

+ Details

Name:	us-gaap_WarrantExercisePriceIncrease
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_StatementEquityComponentsAxis=us-gaap_CommonStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementEquityComponentsAxis=gaxy_FractionalSharesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementEquityComponentsAxis=us-gaap_WarrantMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_TradingActivityByTypeAxis=us-gaap_EquityMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_AssetAcquisitionAxis=gaxy_ReverseSplitMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=gaxy_PreferredClassFMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=gaxy_PreferredClassEMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=us-gaap_SeriesGPreferredStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=gaxy_PreferredStockSeriesFMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=gaxy_PreferredSeriesEStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis=gaxy_StructuredLoanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis=gaxy_PurchaseAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis=gaxy_EquityPurchaseAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_SharesOfCommonStockForServicesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=us-gaap_InvestorMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_ProfessionalConsultingServicesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_CommonStockDebtReductionMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_WarrantHoldersMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_CommitmentSharesUnderEquityPurchaseAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=us-gaap_LineOfCreditMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_ClassroomTechnologySolutionsIncMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_EquityPurchaseAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_ProceedsUnderTheEquityPurchaseAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_CommitmentFeesUnderNotePayableMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_CharitableDonationMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: