Extensions 1→N→G→Q→1 with N=D₆ and Q=D₁₂

Direct product G=N×Q with N=D₆ and Q=D₁₂

		d	ρ	Label	ID
C₂×S₃×D₁₂		48		C2xS3xD12	288,951

Semidirect products G=N:Q with N=D₆ and Q=D₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁D₁₂ = D₆⋊D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₆	48		D6:1D12	288,554
D₆⋊₂D₁₂ = D₆⋊₂D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₆	96		D6:2D12	288,556
D₆⋊₃D₁₂ = C₁₂⋊₇D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₆	48		D6:3D12	288,557
D₆⋊₄D₁₂ = D₆⋊₄D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₆	48		D6:4D12	288,570
D₆⋊₅D₁₂ = D₆⋊₅D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₆	48		D6:5D12	288,571

Non-split extensions G=N.Q with N=D₆ and Q=D₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁D₁₂ = D₆.₁D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₆	48	4	D6.1D12	288,454
D₆.₂D₁₂ = D₂₄⋊₇S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₆	96	4-	D6.2D12	288,455
D₆.₃D₁₂ = D₆.₃D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₆	48	4+	D6.3D12	288,456
D₆.₄D₁₂ = C₂₄⋊₁D₆	φ: D₁₂/D₆ → C₂ ⊆ Out D₆	48	4+	D6.4D12	288,442
D₆.₅D₁₂ = D₂₄⋊S₃	φ: D₁₂/D₆ → C₂ ⊆ Out D₆	48	4	D6.5D12	288,443
D₆.₆D₁₂ = C₂₄.₃D₆	φ: D₁₂/D₆ → C₂ ⊆ Out D₆	96	4-	D6.6D12	288,448
D₆.₇D₁₂ = Dic₁₂⋊S₃	φ: D₁₂/D₆ → C₂ ⊆ Out D₆	48	4	D6.7D12	288,449
D₆.₈D₁₂ = D₆.D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₆	48		D6.8D12	288,538
D₆.₉D₁₂ = D₆.₉D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₆	96		D6.9D12	288,539
D₆.₁₀D₁₂ = S₃×C₂₄⋊C₂	φ: trivial image	48	4	D6.10D12	288,440
D₆.₁₁D₁₂ = S₃×D₂₄	φ: trivial image	48	4+	D6.11D12	288,441
D₆.₁₂D₁₂ = S₃×Dic₁₂	φ: trivial image	96	4-	D6.12D12	288,447
D₆.₁₃D₁₂ = S₃×C₄⋊Dic₃	φ: trivial image	96		D6.13D12	288,537
D₆.₁₄D₁₂ = S₃×D₆⋊C₄	φ: trivial image	48		D6.14D12	288,568

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