Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂⁴⋊₃C₄

Direct product G=N×Q with N=C₅ and Q=C₂⁴⋊₃C₄

		d	ρ	Label	ID
C₅×C₂⁴⋊₃C₄		80		C5xC2^4:3C4	320,880

Semidirect products G=N:Q with N=C₅ and Q=C₂⁴⋊₃C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂⁴⋊₃C₄) = C₂⁴⋊₄F₅	φ: C₂⁴⋊₃C₄/C₂⁴ → C₄ ⊆ Aut C₅	40		C5:(C2^4:3C4)	320,1138
C₅⋊₂(C₂⁴⋊₃C₄) = C₂⁴.₄₈D₁₀	φ: C₂⁴⋊₃C₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:2(C2^4:3C4)	320,582
C₅⋊₃(C₂⁴⋊₃C₄) = C₂⁵.₂D₅	φ: C₂⁴⋊₃C₄/C₂⁵ → C₂ ⊆ Aut C₅	80		C5:3(C2^4:3C4)	320,874

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