Extensions 1→N→G→Q→1 with N=A₄×C₂×C₆ and Q=C₂

Direct product G=N×Q with N=A₄×C₂×C₆ and Q=C₂

		d	ρ	Label	ID
A₄×C₂²×C₆		72		A4xC2^2xC6	288,1041

Semidirect products G=N:Q with N=A₄×C₂×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₂×C₆)⋊₁C₂ = C₃×D₄×A₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₆	36	6	(A4xC2xC6):1C2	288,980
(A₄×C₂×C₆)⋊₂C₂ = C₃×A₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₆	36	6	(A4xC2xC6):2C2	288,906
(A₄×C₂×C₆)⋊₃C₂ = (C₂×C₆)⋊₄S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₆	36	6	(A4xC2xC6):3C2	288,917
(A₄×C₂×C₆)⋊₄C₂ = A₄×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₆	36	6	(A4xC2xC6):4C2	288,928
(A₄×C₂×C₆)⋊₅C₂ = C₂×C₆×S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₆	36		(A4xC2xC6):5C2	288,1033
(A₄×C₂×C₆)⋊₆C₂ = C₂²×C₃⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₆	36		(A4xC2xC6):6C2	288,1034
(A₄×C₂×C₆)⋊₇C₂ = C₂²×S₃×A₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₆	36		(A4xC2xC6):7C2	288,1037

Non-split extensions G=N.Q with N=A₄×C₂×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₂×C₆).₁C₂ = C₆×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₆	72		(A4xC2xC6).1C2	288,905
(A₄×C₂×C₆).₂C₂ = C₂×C₆.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₆	72		(A4xC2xC6).2C2	288,916
(A₄×C₂×C₆).₃C₂ = C₂×Dic₃×A₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₆	72		(A4xC2xC6).3C2	288,927
(A₄×C₂×C₆).₄C₂ = A₄×C₂×C₁₂	φ: trivial image	72		(A4xC2xC6).4C2	288,979

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