Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈⋊₅D₄

Direct product G=N×Q with N=C₅ and Q=C₈⋊₅D₄

		d	ρ	Label	ID
C₅×C₈⋊₅D₄		160		C5xC8:5D4	320,993

Semidirect products G=N:Q with N=C₅ and Q=C₈⋊₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈⋊₅D₄) = C₈⋊₅D₂₀	φ: C₈⋊₅D₄/C₄×C₈ → C₂ ⊆ Aut C₅	160		C5:1(C8:5D4)	320,320
C₅⋊₂(C₈⋊₅D₄) = C₂₀⋊₄SD₁₆	φ: C₈⋊₅D₄/C₄⋊₁D₄ → C₂ ⊆ Aut C₅	160		C5:2(C8:5D4)	320,703
C₅⋊₃(C₈⋊₅D₄) = C₂₀⋊₆SD₁₆	φ: C₈⋊₅D₄/C₄⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:3(C8:5D4)	320,712
C₅⋊₄(C₈⋊₅D₄) = C₄₀⋊₁₅D₄	φ: C₈⋊₅D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₅	160		C5:4(C8:5D4)	320,802

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