Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄⋊D₈

Direct product G=N×Q with N=C₅ and Q=C₄⋊D₈

		d	ρ	Label	ID
C₅×C₄⋊D₈		160		C5xC4:D8	320,960

Semidirect products G=N:Q with N=C₅ and Q=C₄⋊D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄⋊D₈) = D₂₀⋊₃D₄	φ: C₄⋊D₈/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(C4:D8)	320,413
C₅⋊₂(C₄⋊D₈) = C₄⋊D₄₀	φ: C₄⋊D₈/C₄⋊C₈ → C₂ ⊆ Aut C₅	160		C5:2(C4:D8)	320,470
C₅⋊₃(C₄⋊D₈) = C₂₀⋊₇D₈	φ: C₄⋊D₈/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:3(C4:D8)	320,642
C₅⋊₄(C₄⋊D₈) = C₂₀⋊₂D₈	φ: C₄⋊D₈/C₄⋊₁D₄ → C₂ ⊆ Aut C₅	160		C5:4(C4:D8)	320,699
C₅⋊₅(C₄⋊D₈) = Dic₅⋊D₈	φ: C₄⋊D₈/C₂×D₈ → C₂ ⊆ Aut C₅	160		C5:5(C4:D8)	320,777

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