Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₁₂

Direct product G=N×Q with N=Dic₆ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×Dic₆		96		C12xDic6	288,639

Semidirect products G=N:Q with N=Dic₆ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁C₁₂ = C₃×C₄²⋊₄S₃	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₆	24	2	Dic6:1C12	288,239
Dic₆⋊₂C₁₂ = C₃×C₂.Dic₁₂	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₆	96		Dic6:2C12	288,250
Dic₆⋊₃C₁₂ = C₃×C₆.SD₁₆	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₆	96		Dic6:3C12	288,244
Dic₆⋊₄C₁₂ = C₃×D₁₂⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₆	48	4	Dic6:4C12	288,259
Dic₆⋊₅C₁₂ = C₃×Dic₆⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₆	96		Dic6:5C12	288,658

Non-split extensions G=N.Q with N=Dic₆ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.C₁₂ = C₃×D₁₂.C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₆	48	4	Dic6.C12	288,678
Dic₆.₂C₁₂ = C₃×C₈○D₁₂	φ: trivial image	48	2	Dic6.2C12	288,672

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