Extensions 1→N→G→Q→1 with N=A₄ and Q=C₅⋊D₄

Direct product G=N×Q with N=A₄ and Q=C₅⋊D₄

		d	ρ	Label	ID
A₄×C₅⋊D₄		60	6	A4xC5:D4	480,1045

Semidirect products G=N:Q with N=A₄ and Q=C₅⋊D₄

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊₁(C₅⋊D₄) = Dic₅⋊S₄	φ: C₅⋊D₄/Dic₅ → C₂ ⊆ Out A₄	60	6	A4:1(C5:D4)	480,978
A₄⋊₂(C₅⋊D₄) = D₁₀⋊S₄	φ: C₅⋊D₄/D₁₀ → C₂ ⊆ Out A₄	60	6	A4:2(C5:D4)	480,980
A₄⋊₃(C₅⋊D₄) = C₂⁴⋊₂D₁₅	φ: C₅⋊D₄/C₂×C₁₀ → C₂ ⊆ Out A₄	60	6	A4:3(C5:D4)	480,1034

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