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

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

		d	ρ	Label	ID
C₂²×S₄		12		C2^2xS4	96,226

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₄)⋊₁C₂ = C₄⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₄	12	6+	(C2xS4):1C2	96,187
(C₂×S₄)⋊₂C₂ = A₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₄	12	6+	(C2xS4):2C2	96,195

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₄).C₂ = C₄×S₄	φ: trivial image	12	3	(C2xS4).C2	96,186

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