Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊Q₈

Direct product G=N×Q with N=C₅ and Q=D₄⋊Q₈

		d	ρ	Label	ID
C₅×D₄⋊Q₈		160		C5xD4:Q8	320,975

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊Q₈) = Dic₅.₁₄D₈	φ: D₄⋊Q₈/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(D4:Q8)	320,386
C₅⋊₂(D₄⋊Q₈) = D₂₀⋊₄Q₈	φ: D₄⋊Q₈/C₄⋊C₈ → C₂ ⊆ Aut C₅	160		C5:2(D4:Q8)	320,473
C₅⋊₃(D₄⋊Q₈) = D₂₀⋊₂Q₈	φ: D₄⋊Q₈/C₂.D₈ → C₂ ⊆ Aut C₅	160		C5:3(D4:Q8)	320,517
C₅⋊₄(D₄⋊Q₈) = C₂₀.₅₀D₈	φ: D₄⋊Q₈/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:4(D4:Q8)	320,634
C₅⋊₅(D₄⋊Q₈) = D₂₀⋊₆Q₈	φ: D₄⋊Q₈/C₄⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:5(D4:Q8)	320,714

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