Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₁₂

Direct product G=N×Q with N=D₁₂ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×D₁₂		96		C12xD12	288,644

Semidirect products G=N:Q with N=D₁₂ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁C₁₂ = C₃×C₄²⋊₄S₃	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₂	24	2	D12:1C12	288,239
D₁₂⋊₂C₁₂ = C₃×C₂.D₂₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₂	96		D12:2C12	288,255
D₁₂⋊₃C₁₂ = C₃×C₆.D₈	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₂	96		D12:3C12	288,243
D₁₂⋊₄C₁₂ = C₃×D₁₂⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₂	48	4	D12:4C12	288,259
D₁₂⋊₅C₁₂ = C₃×Dic₃⋊₅D₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₂	96		D12:5C12	288,664

Non-split extensions G=N.Q with N=D₁₂ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.C₁₂ = C₃×D₁₂.C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₂	48	4	D12.C12	288,678
D₁₂.₂C₁₂ = C₃×C₈○D₁₂	φ: trivial image	48	2	D12.2C12	288,672

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