Extensions 1→N→G→Q→1 with N=C₂×C₅⋊S₄ and Q=C₂

Direct product G=N×Q with N=C₂×C₅⋊S₄ and Q=C₂

		d	ρ	Label	ID
C₂²×C₅⋊S₄		60		C2^2xC5:S4	480,1199

Semidirect products G=N:Q with N=C₂×C₅⋊S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊S₄)⋊₁C₂ = C₂₀⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊S₄	60	6+	(C2xC5:S4):1C2	480,1026
(C₂×C₅⋊S₄)⋊₂C₂ = C₂⁴⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊S₄	60	6	(C2xC5:S4):2C2	480,1034
(C₂×C₅⋊S₄)⋊₃C₂ = Dic₅⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊S₄	60	6	(C2xC5:S4):3C2	480,978
(C₂×C₅⋊S₄)⋊₄C₂ = A₄⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊S₄	60	6+	(C2xC5:S4):4C2	480,981
(C₂×C₅⋊S₄)⋊₅C₂ = C₂×D₅×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊S₄	30	6+	(C2xC5:S4):5C2	480,1193

Non-split extensions G=N.Q with N=C₂×C₅⋊S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊S₄).C₂ = Dic₅⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅⋊S₄	60	6	(C2xC5:S4).C2	480,977
(C₂×C₅⋊S₄).₂C₂ = C₄×C₅⋊S₄	φ: trivial image	60	6	(C2xC5:S4).2C2	480,1025

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