Extensions 1→N→G→Q→1 with N=A₄xC₃xC₆ and Q=C₂

Direct product G=NxQ with N=A₄xC₃xC₆ and Q=C₂

		d	ρ	Label	ID
A₄xC₆²		108		A4xC6^2	432,770

Semidirect products G=N:Q with N=A₄xC₃xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄xC₃xC₆):₁C₂ = C₃xC₆xS₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₃xC₆	54		(A4xC3xC6):1C2	432,760
(A₄xC₃xC₆):₂C₂ = C₆xC₃:S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₃xC₆	36	6	(A4xC3xC6):2C2	432,761
(A₄xC₃xC₆):₃C₂ = C₂xC₃²:₄S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₃xC₆	54		(A4xC3xC6):3C2	432,762
(A₄xC₃xC₆):₄C₂ = S₃xC₆xA₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₃xC₆	36	6	(A4xC3xC6):4C2	432,763
(A₄xC₃xC₆):₅C₂ = C₂xA₄xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₃xC₆	54		(A4xC3xC6):5C2	432,764

Non-split extensions G=N.Q with N=A₄xC₃xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄xC₃xC₆).₁C₂ = C₃²xA₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₃xC₆	108		(A4xC3xC6).1C2	432,615
(A₄xC₃xC₆).₂C₂ = C₃xC₆.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₃xC₆	36	6	(A4xC3xC6).2C2	432,618
(A₄xC₃xC₆).₃C₂ = C₆²:₁₀Dic₃	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₃xC₆	108		(A4xC3xC6).3C2	432,621
(A₄xC₃xC₆).₄C₂ = C₃xDic₃xA₄	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₃xC₆	36	6	(A4xC3xC6).4C2	432,624
(A₄xC₃xC₆).₅C₂ = A₄xC₃:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out A₄xC₃xC₆	108		(A4xC3xC6).5C2	432,627
(A₄xC₃xC₆).₆C₂ = A₄xC₃xC₁₂	φ: trivial image	108		(A4xC3xC6).6C2	432,697

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