Extensions 1→N→G→Q→1 with N=C₄×S₄ and Q=C₂

Direct product G=N×Q with N=C₄×S₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×S₄		24		C2xC4xS4	192,1469

Semidirect products G=N:Q with N=C₄×S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₄)⋊₁C₂ = D₄×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₄	12	6+	(C4xS4):1C2	192,1472
(C₄×S₄)⋊₂C₂ = D₄⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₄	24	6	(C4xS4):2C2	192,1473
(C₄×S₄)⋊₃C₂ = Q₈⋊₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₄	24	6	(C4xS4):3C2	192,1478
(C₄×S₄)⋊₄C₂ = C₂⁴.₁₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₄	24	6	(C4xS4):4C2	192,1471

Non-split extensions G=N.Q with N=C₄×S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₄).₁C₂ = Q₈×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₄	24	6-	(C4xS4).1C2	192,1477
(C₄×S₄).₂C₂ = C₈⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₄	24	6	(C4xS4).2C2	192,959
(C₄×S₄).₃C₂ = C₈×S₄	φ: trivial image	24	3	(C4xS4).3C2	192,958

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