Extensions 1→N→G→Q→1 with N=C₄.A₄ and Q=C₁₀

Direct product G=N×Q with N=C₄.A₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₄.A₄		160		C10xC4.A4	480,1130

Semidirect products G=N:Q with N=C₄.A₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.A₄⋊₁C₁₀ = C₅×C₄.₃S₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.A₄	80	4	C4.A4:1C10	480,1021
C₄.A₄⋊₂C₁₀ = C₅×C₄.₆S₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.A₄	80	2	C4.A4:2C10	480,1020
C₄.A₄⋊₃C₁₀ = C₅×Q₈.A₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.A₄	120	4	C4.A4:3C10	480,1131
C₄.A₄⋊₄C₁₀ = C₅×D₄.A₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.A₄	80	4	C4.A4:4C10	480,1132

Non-split extensions G=N.Q with N=C₄.A₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.A₄.₁C₁₀ = C₅×C₄.S₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.A₄	160	4	C4.A4.1C10	480,1019
C₄.A₄.₂C₁₀ = C₅×U₂(𝔽₃)	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.A₄	120	2	C4.A4.2C10	480,257
C₄.A₄.₃C₁₀ = C₅×C₈.A₄	φ: trivial image	160	2	C4.A4.3C10	480,660

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