Extensions 1→N→G→Q→1 with N=Dic₁₂ and Q=C₆

Direct product G=N×Q with N=Dic₁₂ and Q=C₆

		d	ρ	Label	ID
C₆×Dic₁₂		96		C6xDic12	288,676

Semidirect products G=N:Q with N=Dic₁₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂⋊₁C₆ = C₃×C₄₈⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₂	96	2	Dic12:1C6	288,234
Dic₁₂⋊₂C₆ = C₃×C₈.D₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:2C6	288,680
Dic₁₂⋊₃C₆ = C₃×D₈.S₃	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:3C6	288,261
Dic₁₂⋊₄C₆ = C₃×D₈⋊₃S₃	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:4C6	288,683
Dic₁₂⋊₅C₆ = C₃×S₃×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₂	96	4	Dic12:5C6	288,688
Dic₁₂⋊₆C₆ = C₃×D₄.D₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:6C6	288,686
Dic₁₂⋊₇C₆ = C₃×C₄○D₂₄	φ: trivial image	48	2	Dic12:7C6	288,675

Non-split extensions G=N.Q with N=Dic₁₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂.₁C₆ = C₃×Dic₂₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₂	96	2	Dic12.1C6	288,235
Dic₁₂.₂C₆ = C₃×C₃⋊Q₃₂	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₂	96	4	Dic12.2C6	288,263

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