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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₄)⋊₁C₂² = C₂×C₄⋊S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₄	24		(C2xS4):1C2^2	192,1470
(C₂×S₄)⋊₂C₂² = D₄×S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₄	12	6+	(C2xS4):2C2^2	192,1472
(C₂×S₄)⋊₃C₂² = C₂×A₄⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₄	24		(C2xS4):3C2^2	192,1488

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₄).₁C₂² = C₂⁴.₁₀D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₄	24	6	(C2xS4).1C2^2	192,1471
(C₂×S₄).₂C₂² = D₄⋊₂S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₄	24	6	(C2xS4).2C2^2	192,1473
(C₂×S₄).₃C₂² = Q₈⋊₄S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×S₄	24	6	(C2xS4).3C2^2	192,1478
(C₂×S₄).₄C₂² = C₂×C₄×S₄	φ: trivial image	24		(C2xS4).4C2^2	192,1469
(C₂×S₄).₅C₂² = Q₈×S₄	φ: trivial image	24	6-	(C2xS4).5C2^2	192,1477

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