Extensions 1→N→G→Q→1 with N=C₂×D₅×A₄ and Q=C₂

Direct product G=N×Q with N=C₂×D₅×A₄ and Q=C₂

		d	ρ	Label	ID
C₂²×D₅×A₄		60		C2^2xD5xA4	480,1202

Semidirect products G=N:Q with N=C₂×D₅×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₅×A₄)⋊₁C₂ = D₁₀⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅×A₄	60	6	(C2xD5xA4):1C2	480,980
(C₂×D₅×A₄)⋊₂C₂ = A₄⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅×A₄	60	6+	(C2xD5xA4):2C2	480,981
(C₂×D₅×A₄)⋊₃C₂ = C₂×D₅×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅×A₄	30	6+	(C2xD5xA4):3C2	480,1193
(C₂×D₅×A₄)⋊₄C₂ = A₄×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅×A₄	60	6+	(C2xD5xA4):4C2	480,1037
(C₂×D₅×A₄)⋊₅C₂ = A₄×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅×A₄	60	6	(C2xD5xA4):5C2	480,1045

Non-split extensions G=N.Q with N=C₂×D₅×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₅×A₄).₁C₂ = D₅×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅×A₄	60	6	(C2xD5xA4).1C2	480,979
(C₂×D₅×A₄).₂C₂ = C₂×A₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅×A₄	30	12+	(C2xD5xA4).2C2	480,1191
(C₂×D₅×A₄).₃C₂ = C₂×A₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅×A₄	30	12+	(C2xD5xA4).3C2	480,1192
(C₂×D₅×A₄).₄C₂ = C₄×D₅×A₄	φ: trivial image	60	6	(C2xD5xA4).4C2	480,1036

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