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

Direct product G=NxQ with N=A₄:C₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀xA₄:C₄		120		C10xA4:C4	480,1022

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

extension	φ:Q→Out N	d	ρ	Label	ID
A₄:C₄:C₁₀ = C₅xA₄:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out A₄:C₄	60	6	A4:C4:C10	480,1023
A₄:C₄:₂C₁₀ = C₂₀xS₄	φ: trivial image	60	3	A4:C4:2C10	480,1014

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

extension	φ:Q→Out N	d	ρ	Label	ID
A₄:C₄.C₁₀ = C₅xA₄:Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out A₄:C₄	120	6	A4:C4.C10	480,1013

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