Extensions 1→N→G→Q→1 with N=C₅×A₄⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₅×A₄⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₁₀×A₄⋊C₄		120		C10xA4:C4	480,1022

Semidirect products G=N:Q with N=C₅×A₄⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×A₄⋊C₄)⋊₁C₂ = Dic₅⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×A₄⋊C₄	60	6	(C5xA4:C4):1C2	480,977
(C₅×A₄⋊C₄)⋊₂C₂ = D₅×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×A₄⋊C₄	60	6	(C5xA4:C4):2C2	480,979
(C₅×A₄⋊C₄)⋊₃C₂ = A₄⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×A₄⋊C₄	60	6+	(C5xA4:C4):3C2	480,981
(C₅×A₄⋊C₄)⋊₄C₂ = C₅×A₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×A₄⋊C₄	60	6	(C5xA4:C4):4C2	480,1023
(C₅×A₄⋊C₄)⋊₅C₂ = C₂₀×S₄	φ: trivial image	60	3	(C5xA4:C4):5C2	480,1014

Non-split extensions G=N.Q with N=C₅×A₄⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×A₄⋊C₄).₁C₂ = A₄⋊Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×A₄⋊C₄	120	6-	(C5xA4:C4).1C2	480,975
(C₅×A₄⋊C₄).₂C₂ = C₅×A₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×A₄⋊C₄	120	6	(C5xA4:C4).2C2	480,1013

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