v3.22.2.2

Lease Agreements (Details) - Financial Institution [Member]	12 Months Ended
	Jun. 30, 2022 USD ($)
Lease Agreements (Details) [Line Items]
Monthly lease payment	$ 22,810
Minimum [Member]
Lease Agreements (Details) [Line Items]
Monthly lease payment	245
Maximum [Member]
Lease Agreements (Details) [Line Items]
Monthly lease payment	$ 9,664

X

- References

No definition available.

+ Details

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

X

- Definition

Monthly lease payment.

+ References

No definition available.

+ Details

Name:	gaxy_MonthlyLeasePayment
Namespace Prefix:	gaxy_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Details

Name:	us-gaap_DebtInstrumentAxis=gaxy_FinancialInstitutionMember
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:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: