Extensions 1→N→G→Q→1 with N=C₂×C₃⋊S₄ and Q=C₂

Direct product G=N×Q with N=C₂×C₃⋊S₄ and Q=C₂

		d	ρ	Label	ID
C₂²×C₃⋊S₄		36		C2^2xC3:S4	288,1034

Semidirect products G=N:Q with N=C₂×C₃⋊S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊S₄)⋊₁C₂ = Dic₃⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₄	36	6	(C2xC3:S4):1C2	288,855
(C₂×C₃⋊S₄)⋊₂C₂ = A₄⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₄	36	6+	(C2xC3:S4):2C2	288,858
(C₂×C₃⋊S₄)⋊₃C₂ = C₁₂⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₄	36	6+	(C2xC3:S4):3C2	288,909
(C₂×C₃⋊S₄)⋊₄C₂ = (C₂×C₆)⋊₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₄	36	6	(C2xC3:S4):4C2	288,917
(C₂×C₃⋊S₄)⋊₅C₂ = C₂×S₃×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₄	18	6+	(C2xC3:S4):5C2	288,1028

Non-split extensions G=N.Q with N=C₂×C₃⋊S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊S₄).C₂ = Dic₃⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₄	36	6	(C2xC3:S4).C2	288,854
(C₂×C₃⋊S₄).₂C₂ = C₄×C₃⋊S₄	φ: trivial image	36	6	(C2xC3:S4).2C2	288,908

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