Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈⋊₄D₄

Direct product G=N×Q with N=C₅ and Q=C₈⋊₄D₄

		d	ρ	Label	ID
C₅×C₈⋊₄D₄		160		C5xC8:4D4	320,994

Semidirect products G=N:Q with N=C₅ and Q=C₈⋊₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈⋊₄D₄) = C₂₀⋊₄D₈	φ: C₈⋊₄D₄/C₄×C₈ → C₂ ⊆ Aut C₅	160		C5:1(C8:4D4)	320,322
C₅⋊₂(C₈⋊₄D₄) = C₂₀⋊D₈	φ: C₈⋊₄D₄/C₄⋊₁D₄ → C₂ ⊆ Aut C₅	160		C5:2(C8:4D4)	320,700
C₅⋊₃(C₈⋊₄D₄) = C₄₀⋊₅D₄	φ: C₈⋊₄D₄/C₂×D₈ → C₂ ⊆ Aut C₅	160		C5:3(C8:4D4)	320,778

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