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		72		C2xC6.S4	288,341

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.S₄⋊C₂ = C₂³.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₄	36	6	C6.S4:C2	288,342
C₆.S₄⋊₂C₂ = C₄×C₃.S₄	φ: trivial image	36	6	C6.S4:2C2	288,333

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 = C₁₂.₁S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₄	72	6-	C6.S4.C2	288,332

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