Extensions 1→N→G→Q→1 with N=C₂²×S₄ and Q=C₂

Direct product G=N×Q with N=C₂²×S₄ and Q=C₂

		d	ρ	Label	ID
C₂³×S₄		24		C2^3xS4	192,1537

Semidirect products G=N:Q with N=C₂²×S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₄)⋊₁C₂ = C₂×C₄⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₄	24		(C2^2xS4):1C2	192,1470
(C₂²×S₄)⋊₂C₂ = D₄×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₄	12	6+	(C2^2xS4):2C2	192,1472
(C₂²×S₄)⋊₃C₂ = C₂×A₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₄	24		(C2^2xS4):3C2	192,1488

Non-split extensions G=N.Q with N=C₂²×S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₄).C₂ = C₂⁴.₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₄	24		(C2^2xS4).C2	192,972
(C₂²×S₄).₂C₂ = C₂×C₄×S₄	φ: trivial image	24		(C2^2xS4).2C2	192,1469

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Extensions 1→N→G→Q→1 with N=C22×S4 and Q=C2