Extensions 1→N→G→Q→1 with N=D₁₂:₅S₃ and Q=C₂

Direct product G=NxQ with N=D₁₂:₅S₃ and Q=C₂

		d	ρ	Label	ID
C₂xD₁₂:₅S₃		96		C2xD12:5S3	288,943

Semidirect products G=N:Q with N=D₁₂:₅S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂:₅S₃:₁C₂ = D₂₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	48	4	D12:5S3:1C2	288,443
D₁₂:₅S₃:₂C₂ = D₆.₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	48	4	D12:5S3:2C2	288,454
D₁₂:₅S₃:₃C₂ = D₂₄:₇S₃	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	96	4-	D12:5S3:3C2	288,455
D₁₂:₅S₃:₄C₂ = D₁₂:₉D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	48	8-	D12:5S3:4C2	288,580
D₁₂:₅S₃:₅C₂ = D₁₂.₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	48	8-	D12:5S3:5C2	288,581
D₁₂:₅S₃:₆C₂ = D₁₂.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	96	8-	D12:5S3:6C2	288,595
D₁₂:₅S₃:₇C₂ = D₁₂.₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	48	4-	D12:5S3:7C2	288,946
D₁₂:₅S₃:₈C₂ = D₁₂:₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	48	4	D12:5S3:8C2	288,955
D₁₂:₅S₃:₉C₂ = S₃xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	48	8-	D12:5S3:9C2	288,959
D₁₂:₅S₃:₁₀C₂ = D₁₂:₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	48	8-	D12:5S3:10C2	288,961
D₁₂:₅S₃:₁₁C₂ = D₁₂.₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	48	8-	D12:5S3:11C2	288,963
D₁₂:₅S₃:₁₂C₂ = D₁₂:₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	48	8-	D12:5S3:12C2	288,967
D₁₂:₅S₃:₁₃C₂ = S₃xC₄oD₁₂	φ: trivial image	48	4	D12:5S3:13C2	288,953

Non-split extensions G=N.Q with N=D₁₂:₅S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂:₅S₃.₁C₂ = C₂₄.₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	96	4-	D12:5S3.1C2	288,448
D₁₂:₅S₃.₂C₂ = D₁₂.₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂:₅S₃	96	8-	D12:5S3.2C2	288,594

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