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

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

		d	ρ	Label	ID
C₅×A₄⋊D₄		60	6	C5xA4:D4	480,1023

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(A₄⋊D₄) = A₄⋊D₂₀	φ: A₄⋊D₄/A₄⋊C₄ → C₂ ⊆ Aut C₅	60	6+	C5:1(A4:D4)	480,981
C₅⋊₂(A₄⋊D₄) = D₁₀⋊S₄	φ: A₄⋊D₄/C₂×S₄ → C₂ ⊆ Aut C₅	60	6	C5:2(A4:D4)	480,980
C₅⋊₃(A₄⋊D₄) = C₂⁴⋊₂D₁₅	φ: A₄⋊D₄/C₂²×A₄ → C₂ ⊆ Aut C₅	60	6	C5:3(A4:D4)	480,1034

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