Extensions 1→N→G→Q→1 with N=C₆.₆S₄ and Q=C₂

Direct product G=N×Q with N=C₆.₆S₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₆.₆S₄		48		C2xC6.6S4	288,911

Semidirect products G=N:Q with N=C₆.₆S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.₆S₄⋊₁C₂ = Dic₃.₅S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.₆S₄	48	4+	C6.6S4:1C2	288,846
C₆.₆S₄⋊₂C₂ = GL₂(𝔽₃)⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆.₆S₄	48	4+	C6.6S4:2C2	288,847
C₆.₆S₄⋊₃C₂ = D₆.₂S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.₆S₄	48	4	C6.6S4:3C2	288,850
C₆.₆S₄⋊₄C₂ = S₃×GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₆.₆S₄	24	4	C6.6S4:4C2	288,851
C₆.₆S₄⋊₅C₂ = SL₂(𝔽₃).D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.₆S₄	48	4	C6.6S4:5C2	288,912
C₆.₆S₄⋊₆C₂ = C₁₂.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.₆S₄	48	4+	C6.6S4:6C2	288,915
C₆.₆S₄⋊₇C₂ = C₁₂.₁₄S₄	φ: trivial image	48	4	C6.6S4:7C2	288,914

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