Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈⋊₈D₄

Direct product G=N×Q with N=C₅ and Q=C₈⋊₈D₄

		d	ρ	Label	ID
C₅×C₈⋊₈D₄		160		C5xC8:8D4	320,966

Semidirect products G=N:Q with N=C₅ and Q=C₈⋊₈D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈⋊₈D₄) = D₁₀⋊SD₁₆	φ: C₈⋊₈D₄/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(C8:8D4)	320,405
C₅⋊₂(C₈⋊₈D₄) = D₁₀⋊₂SD₁₆	φ: C₈⋊₈D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C8:8D4)	320,434
C₅⋊₃(C₈⋊₈D₄) = C₈⋊₈D₂₀	φ: C₈⋊₈D₄/C₄.Q₈ → C₂ ⊆ Aut C₅	160		C5:3(C8:8D4)	320,491
C₅⋊₄(C₈⋊₈D₄) = C₅⋊₂C₈⋊₂₃D₄	φ: C₈⋊₈D₄/C₄⋊D₄ → C₂ ⊆ Aut C₅	160		C5:4(C8:8D4)	320,668
C₅⋊₅(C₈⋊₈D₄) = C₅⋊₂C₈⋊₂₄D₄	φ: C₈⋊₈D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:5(C8:8D4)	320,675
C₅⋊₆(C₈⋊₈D₄) = C₄₀⋊₃₀D₄	φ: C₈⋊₈D₄/C₂²×C₈ → C₂ ⊆ Aut C₅	160		C5:6(C8:8D4)	320,741
C₅⋊₇(C₈⋊₈D₄) = C₄₀⋊₁₄D₄	φ: C₈⋊₈D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₅	160		C5:7(C8:8D4)	320,798

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