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

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

		d	ρ	Label	ID
C₁₀×A₄⋊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 = C₅×A₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out A₄⋊C₄	60	6	A4:C4:C10	480,1023
A₄⋊C₄⋊₂C₁₀ = C₂₀×S₄	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 = C₅×A₄⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out A₄⋊C₄	120	6	A4:C4.C10	480,1013

⋊

ℤ

𝔽

○

≀

ℚ

◁

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