Extensions 1→N→G→Q→1 with N=C₆×S₄ and Q=C₂

Direct product G=N×Q with N=C₆×S₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×S₄		36		C2xC6xS4	288,1033

Semidirect products G=N:Q with N=C₆×S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×S₄)⋊₁C₂ = C₂×S₃×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×S₄	18	6+	(C6xS4):1C2	288,1028
(C₆×S₄)⋊₂C₂ = Dic₃⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×S₄	36	6	(C6xS4):2C2	288,855
(C₆×S₄)⋊₃C₂ = D₆⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×S₄	36	6	(C6xS4):3C2	288,857
(C₆×S₄)⋊₄C₂ = C₃×C₄⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×S₄	36	6	(C6xS4):4C2	288,898
(C₆×S₄)⋊₅C₂ = C₃×A₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×S₄	36	6	(C6xS4):5C2	288,906

Non-split extensions G=N.Q with N=C₆×S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×S₄).C₂ = Dic₃×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×S₄	36	6-	(C6xS4).C2	288,853
(C₆×S₄).₂C₂ = C₁₂×S₄	φ: trivial image	36	3	(C6xS4).2C2	288,897

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