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		C5xD4xQ8	320,1551

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) = D₄×Dic₁₀	φ: D₄×Q₈/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:1(D4xQ8)	320,1209
C₅⋊₂(D₄×Q₈) = Q₈×D₂₀	φ: D₄×Q₈/C₄×Q₈ → C₂ ⊆ Aut C₅	160		C5:2(D4xQ8)	320,1247
C₅⋊₃(D₄×Q₈) = Dic₁₀⋊₂₁D₄	φ: D₄×Q₈/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:3(D4xQ8)	320,1304
C₅⋊₄(D₄×Q₈) = D₂₀⋊₈Q₈	φ: D₄×Q₈/C₄⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:4(D4xQ8)	320,1399
C₅⋊₅(D₄×Q₈) = Q₈×C₅⋊D₄	φ: D₄×Q₈/C₂²×Q₈ → C₂ ⊆ Aut C₅	160		C5:5(D4xQ8)	320,1487

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