Extensions 1→N→G→Q→1 with N=C₂×S₄ and Q=C₁₀

Direct product G=N×Q with N=C₂×S₄ and Q=C₁₀

		d	ρ	Label	ID
C₂×C₁₀×S₄		60		C2xC10xS4	480,1198

Semidirect products G=N:Q with N=C₂×S₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₄)⋊₁C₁₀ = C₅×C₄⋊S₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×S₄	60	6	(C2xS4):1C10	480,1015
(C₂×S₄)⋊₂C₁₀ = C₅×A₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×S₄	60	6	(C2xS4):2C10	480,1023

Non-split extensions G=N.Q with N=C₂×S₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₄).C₁₀ = C₂₀×S₄	φ: trivial image	60	3	(C2xS4).C10	480,1014

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Extensions 1→N→G→Q→1 with N=C2×S4 and Q=C10