Extensions 1→N→G→Q→1 with N=A₄×C₃×C₆ and Q=C₂

Direct product G=N×Q with N=A₄×C₃×C₆ and Q=C₂

		d	ρ	Label	ID
A₄×C₆²		108		A4xC6^2	432,770

Semidirect products G=N:Q with N=A₄×C₃×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₃×C₆)⋊₁C₂ = C₃×C₆×S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃×C₆	54		(A4xC3xC6):1C2	432,760
(A₄×C₃×C₆)⋊₂C₂ = C₆×C₃⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃×C₆	36	6	(A4xC3xC6):2C2	432,761
(A₄×C₃×C₆)⋊₃C₂ = C₂×C₃²⋊₄S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃×C₆	54		(A4xC3xC6):3C2	432,762
(A₄×C₃×C₆)⋊₄C₂ = S₃×C₆×A₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃×C₆	36	6	(A4xC3xC6):4C2	432,763
(A₄×C₃×C₆)⋊₅C₂ = C₂×A₄×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃×C₆	54		(A4xC3xC6):5C2	432,764

Non-split extensions G=N.Q with N=A₄×C₃×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₃×C₆).₁C₂ = C₃²×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃×C₆	108		(A4xC3xC6).1C2	432,615
(A₄×C₃×C₆).₂C₂ = C₃×C₆.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃×C₆	36	6	(A4xC3xC6).2C2	432,618
(A₄×C₃×C₆).₃C₂ = C₆²⋊₁₀Dic₃	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃×C₆	108		(A4xC3xC6).3C2	432,621
(A₄×C₃×C₆).₄C₂ = C₃×Dic₃×A₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃×C₆	36	6	(A4xC3xC6).4C2	432,624
(A₄×C₃×C₆).₅C₂ = A₄×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃×C₆	108		(A4xC3xC6).5C2	432,627
(A₄×C₃×C₆).₆C₂ = A₄×C₃×C₁₂	φ: trivial image	108		(A4xC3xC6).6C2	432,697

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