v3.22.2.2

Equity (Details) - USD ($)			12 Months Ended
	Mar. 07, 2022	Mar. 07, 2022	Jun. 30, 2022	Jun. 30, 2021
Equity (Details) [Line Items]
Reverse split, description	200:1
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.
200:1 Reverse Split [Member]
Equity (Details) [Line Items]
Cancellation of common stock representing fractional shares			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
Structured Loan [Member]
Equity (Details) [Line Items]
Share issued			1,812,500
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
Professional Consulting Services [Member]
Equity (Details) [Line Items]
Share issued				529,000
Share issued value (in Dollars)				$ 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
Line of Credit [Member]
Equity (Details) [Line Items]
Common stock issued as collateral				250,000
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
Purchase Agreement [Member]
Equity (Details) [Line Items]
Share issued			500,000
Equity Purchase Agreement [Member]
Equity (Details) [Line Items]
Share issued			1,125,000

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

- 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 new stock issued during the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section 50
-Paragraph 2
-URI https://asc.fasb.org/extlink&oid=126973232&loc=d3e21463-112644

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.3-04)
-URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770

Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(28))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

+ Details

Name:	us-gaap_StockIssuedDuringPeriodSharesNewIssues
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
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.3-04)
-URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section 50
-Paragraph 2
-URI https://asc.fasb.org/extlink&oid=126973232&loc=d3e21463-112644

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(28))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

+ 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
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section S99
-Paragraph 4
-Subparagraph (SAB Topic 4.C)
-URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187143-122770

+ Details

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

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_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis=gaxy_StructuredLoanMember
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_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: