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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×S₄)⋊₁C₂ = Dic₅⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×S₄	60	6	(C10xS4):1C2	480,978
(C₁₀×S₄)⋊₂C₂ = D₁₀⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×S₄	60	6	(C10xS4):2C2	480,980
(C₁₀×S₄)⋊₃C₂ = C₂×D₅×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×S₄	30	6+	(C10xS4):3C2	480,1193
(C₁₀×S₄)⋊₄C₂ = C₅×C₄⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×S₄	60	6	(C10xS4):4C2	480,1015
(C₁₀×S₄)⋊₅C₂ = C₅×A₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×S₄	60	6	(C10xS4):5C2	480,1023

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×S₄).C₂ = Dic₅×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×S₄	60	6-	(C10xS4).C2	480,976
(C₁₀×S₄).₂C₂ = C₂₀×S₄	φ: trivial image	60	3	(C10xS4).2C2	480,1014

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