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

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

		d	ρ	Label	ID
C₅×C₈⋊D₄		160		C5xC8:D4	320,969

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈⋊D₄) = C₅⋊₂C₈⋊D₄	φ: C₈⋊D₄/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(C8:D4)	320,407
C₅⋊₂(C₈⋊D₄) = C₅⋊(C₈⋊D₄)	φ: C₈⋊D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C8:D4)	320,439
C₅⋊₃(C₈⋊D₄) = C₈⋊₃D₂₀	φ: C₈⋊D₄/C₂.D₈ → C₂ ⊆ Aut C₅	160		C5:3(C8:D4)	320,513
C₅⋊₄(C₈⋊D₄) = C₄.(D₄×D₅)	φ: C₈⋊D₄/C₄⋊D₄ → C₂ ⊆ Aut C₅	160		C5:4(C8:D4)	320,669
C₅⋊₅(C₈⋊D₄) = C₂²⋊Q₈⋊D₅	φ: C₈⋊D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:5(C8:D4)	320,676
C₅⋊₆(C₈⋊D₄) = C₄₀⋊₂D₄	φ: C₈⋊D₄/C₂×M₄(2) → C₂ ⊆ Aut C₅	160		C5:6(C8:D4)	320,761
C₅⋊₇(C₈⋊D₄) = C₄₀⋊₈D₄	φ: C₈⋊D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₅	160		C5:7(C8:D4)	320,801

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