Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈⋊₇D₄

Direct product G=N×Q with N=C₅ and Q=C₈⋊₇D₄

		d	ρ	Label	ID
C₅×C₈⋊₇D₄		160		C5xC8:7D4	320,967

Semidirect products G=N:Q with N=C₅ and Q=C₈⋊₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈⋊₇D₄) = D₁₀⋊D₈	φ: C₈⋊₇D₄/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(C8:7D4)	320,402
C₅⋊₂(C₈⋊₇D₄) = C₈⋊₇D₂₀	φ: C₈⋊₇D₄/C₂.D₈ → C₂ ⊆ Aut C₅	160		C5:2(C8:7D4)	320,510
C₅⋊₃(C₈⋊₇D₄) = (C₂×C₁₀)⋊D₈	φ: C₈⋊₇D₄/C₄⋊D₄ → C₂ ⊆ Aut C₅	160		C5:3(C8:7D4)	320,665
C₅⋊₄(C₈⋊₇D₄) = C₄₀⋊₂₉D₄	φ: C₈⋊₇D₄/C₂²×C₈ → C₂ ⊆ Aut C₅	160		C5:4(C8:7D4)	320,742
C₅⋊₅(C₈⋊₇D₄) = C₄₀⋊₆D₄	φ: C₈⋊₇D₄/C₂×D₈ → C₂ ⊆ Aut C₅	160		C5:5(C8:7D4)	320,784

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