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

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

		d	ρ	Label	ID
Q₈×C₂₀		160		Q8xC20	160,180

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄×Q₈) = Q₈×F₅	φ: C₄×Q₈/Q₈ → C₄ ⊆ Aut C₅	40	8-	C5:(C4xQ8)	160,209
C₅⋊₂(C₄×Q₈) = C₄×Dic₁₀	φ: C₄×Q₈/C₄² → C₂ ⊆ Aut C₅	160		C5:2(C4xQ8)	160,89
C₅⋊₃(C₄×Q₈) = Dic₅⋊₃Q₈	φ: C₄×Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:3(C4xQ8)	160,108
C₅⋊₄(C₄×Q₈) = Q₈×Dic₅	φ: C₄×Q₈/C₂×Q₈ → C₂ ⊆ Aut C₅	160		C5:4(C4xQ8)	160,166

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