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

Direct product G=N×Q with N=D₁₂⋊₅S₃ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₂⋊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 = S₃×D₄⋊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 = S₃×C₄○D₁₂	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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