Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₂

Direct product G=N×Q with N=D₁₂ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₂		24		C2xD12	48,36

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁C₂ = D₂₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂	24	2+	D12:1C2	48,7
D₁₂⋊₂C₂ = D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₁₂	24	4+	D12:2C2	48,15
D₁₂⋊₃C₂ = S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂	12	4+	D12:3C2	48,38
D₁₂⋊₄C₂ = Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out D₁₂	24	4+	D12:4C2	48,41
D₁₂⋊₅C₂ = C₄○D₁₂	φ: trivial image	24	2	D12:5C2	48,37

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁C₂ = C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₂	24	2	D12.1C2	48,6
D₁₂.₂C₂ = Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₁₂	24	4+	D12.2C2	48,17

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