v3.23.2

Lease Agreements (Details) - USD ($) | 9 Months Ended | 12 Months Ended
--- | --- | ---
Mar. 31, 2023 | Jun. 30, 2022
Lease Agreements (Details) [Line Items] |  |
Monthly lease payment |  | $ 9,664
Weighted average remaining lease term | 1 year 29 days |
Financial Institution [Member] |  |
Lease Agreements (Details) [Line Items] |  |
Monthly lease payment | $ 22,723 | 22,810
Lease expiration date | December 2024 |
Financial Institution [Member] | Minimum [Member] |  |
Lease Agreements (Details) [Line Items] |  |
Monthly lease payment | $ 245 | 245
Financial Institution [Member] | Maximum [Member] |  |
Lease Agreements (Details) [Line Items] |  |
Monthly lease payment | $ 9,664 | $ 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 Lease expiration date description. + References No definition available. + Details
Name: | gaxy_LeaseExpirationDateDescription
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
- Definition Weighted average remaining lease term for operating lease, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Topic 842 -SubTopic 20 -Name Accounting Standards Codification -Section 55 -Paragraph 53 -Publisher FASB -URI https://asc.fasb.org//1943274/2147479589/842-20-55-53 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 842 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 4 -Subparagraph (g)(3) -Publisher FASB -URI https://asc.fasb.org//1943274/2147478964/842-20-50-4 + Details
Name: | us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1
Namespace Prefix: | us-gaap_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | instant

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: |