Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂⁴⋊₄S₃

Direct product G=N×Q with N=C₅ and Q=C₂⁴⋊₄S₃

		d	ρ	Label	ID
C₅×C₂⁴⋊₄S₃		120		C5xC2^4:4S3	480,832

Semidirect products G=N:Q with N=C₅ and Q=C₂⁴⋊₄S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂⁴⋊₄S₃) = (C₂×C₆)⋊₈D₂₀	φ: C₂⁴⋊₄S₃/C₆.D₄ → C₂ ⊆ Aut C₅	120		C5:1(C2^4:4S3)	480,640
C₅⋊₂(C₂⁴⋊₄S₃) = (C₂×C₃₀)⋊D₄	φ: C₂⁴⋊₄S₃/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	120		C5:2(C2^4:4S3)	480,639
C₅⋊₃(C₂⁴⋊₄S₃) = C₂⁴⋊₅D₁₅	φ: C₂⁴⋊₄S₃/C₂³×C₆ → C₂ ⊆ Aut C₅	120		C5:3(C2^4:4S3)	480,918

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