Extensions 1→N→G→Q→1 with N=D₄ and Q=D₁₂

Direct product G=N×Q with N=D₄ and Q=D₁₂

		d	ρ	Label	ID
D₄×D₁₂		48		D4xD12	192,1108

Semidirect products G=N:Q with N=D₄ and Q=D₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁D₁₂ = C₁₂⋊₇D₈	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₄	96		D4:1D12	192,574
D₄⋊₂D₁₂ = D₄⋊D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₄	48		D4:2D12	192,332
D₄⋊₃D₁₂ = D₄⋊₃D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₄	96		D4:3D12	192,340
D₄⋊₄D₁₂ = Q₈⋊₅D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₄	24	4+	D4:4D12	192,381
D₄⋊₅D₁₂ = D₄⋊₅D₁₂	φ: trivial image	48		D4:5D12	192,1113
D₄⋊₆D₁₂ = D₄⋊₆D₁₂	φ: trivial image	96		D4:6D12	192,1114

Non-split extensions G=N.Q with N=D₄ and Q=D₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁D₁₂ = D₄.₁D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₄	96		D4.1D12	192,575
D₄.₂D₁₂ = D₄.₂D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₄	96		D4.2D12	192,578
D₄.₃D₁₂ = Q₈.₈D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₄	48	4	D4.3D12	192,700
D₄.₄D₁₂ = Q₈.₉D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₄	48	4+	D4.4D12	192,701
D₄.₅D₁₂ = Q₈.₁₀D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₄	96	4-	D4.5D12	192,702
D₄.₆D₁₂ = D₆⋊₅SD₁₆	φ: D₁₂/D₆ → C₂ ⊆ Out D₄	48		D4.6D12	192,335
D₄.₇D₁₂ = D₄.D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₄	96		D4.7D12	192,342
D₄.₈D₁₂ = C₄²⋊₅D₆	φ: D₁₂/D₆ → C₂ ⊆ Out D₄	48	4	D4.8D12	192,384
D₄.₉D₁₂ = Q₈.₁₄D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₄	48	4-	D4.9D12	192,385
D₄.₁₀D₁₂ = D₄.₁₀D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₄	48	4	D4.10D12	192,386
D₄.₁₁D₁₂ = D₄.₁₁D₁₂	φ: trivial image	48	4	D4.11D12	192,1310
D₄.₁₂D₁₂ = D₄.₁₂D₁₂	φ: trivial image	48	4+	D4.12D12	192,1311
D₄.₁₃D₁₂ = D₄.₁₃D₁₂	φ: trivial image	96	4-	D4.13D12	192,1312

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