Extensions 1→N→G→Q→1 with N=D₁₂ and Q=Dic₃

Direct product G=N×Q with N=D₁₂ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×D₁₂		96		Dic3xD12	288,540

Semidirect products G=N:Q with N=D₁₂ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁Dic₃ = C₆.₁₆D₂₄	φ: Dic₃/C₆ → C₂ ⊆ Out D₁₂	96		D12:1Dic3	288,211
D₁₂⋊₂Dic₃ = D₁₂⋊₂Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out D₁₂	48	4	D12:2Dic3	288,217
D₁₂⋊₃Dic₃ = D₁₂⋊₃Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out D₁₂	96		D12:3Dic3	288,210
D₁₂⋊₄Dic₃ = D₁₂⋊₄Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out D₁₂	24	4	D12:4Dic3	288,216
D₁₂⋊₅Dic₃ = D₁₂⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out D₁₂	96		D12:5Dic3	288,546

Non-split extensions G=N.Q with N=D₁₂ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.Dic₃ = D₁₂.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out D₁₂	48	4	D12.Dic3	288,463
D₁₂.₂Dic₃ = D₁₂.₂Dic₃	φ: trivial image	48	4	D12.2Dic3	288,462

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