Extensions 1→N→G→Q→1 with N=C₆xS₄ and Q=C₂

Direct product G=NxQ with N=C₆xS₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₆xS₄		36		C2xC6xS4	288,1033

Semidirect products G=N:Q with N=C₆xS₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xS₄):₁C₂ = C₂xS₃xS₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xS₄	18	6+	(C6xS4):1C2	288,1028
(C₆xS₄):₂C₂ = Dic₃:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xS₄	36	6	(C6xS4):2C2	288,855
(C₆xS₄):₃C₂ = D₆:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xS₄	36	6	(C6xS4):3C2	288,857
(C₆xS₄):₄C₂ = C₃xC₄:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xS₄	36	6	(C6xS4):4C2	288,898
(C₆xS₄):₅C₂ = C₃xA₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xS₄	36	6	(C6xS4):5C2	288,906

Non-split extensions G=N.Q with N=C₆xS₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xS₄).C₂ = Dic₃xS₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xS₄	36	6-	(C6xS4).C2	288,853
(C₆xS₄).₂C₂ = C₁₂xS₄	φ: trivial image	36	3	(C6xS4).2C2	288,897

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