Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₄×Q₈

Direct product G=N×Q with N=C₅ and Q=C₂×C₄×Q₈

		d	ρ	Label	ID
Q₈×C₂×C₂₀		320		Q8xC2xC20	320,1518

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₄×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×C₄×Q₈) = C₂×Q₈×F₅	φ: C₂×C₄×Q₈/C₂×Q₈ → C₄ ⊆ Aut C₅	80		C5:(C2xC4xQ8)	320,1599
C₅⋊₂(C₂×C₄×Q₈) = C₂×C₄×Dic₁₀	φ: C₂×C₄×Q₈/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:2(C2xC4xQ8)	320,1139
C₅⋊₃(C₂×C₄×Q₈) = C₂×Dic₅⋊₃Q₈	φ: C₂×C₄×Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:3(C2xC4xQ8)	320,1168
C₅⋊₄(C₂×C₄×Q₈) = C₄×Q₈×D₅	φ: C₂×C₄×Q₈/C₄×Q₈ → C₂ ⊆ Aut C₅	160		C5:4(C2xC4xQ8)	320,1243
C₅⋊₅(C₂×C₄×Q₈) = C₂×Q₈×Dic₅	φ: C₂×C₄×Q₈/C₂²×Q₈ → C₂ ⊆ Aut C₅	320		C5:5(C2xC4xQ8)	320,1483

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