Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂.D₈

Direct product G=N×Q with N=C₅ and Q=C₂.D₈

		d	ρ	Label	ID
C₅×C₂.D₈		160		C5xC2.D8	160,57

Semidirect products G=N:Q with N=C₅ and Q=C₂.D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂.D₈) = D₅.D₈	φ: C₂.D₈/C₈ → C₄ ⊆ Aut C₅	40	4	C5:(C2.D8)	160,69
C₅⋊₂(C₂.D₈) = C₁₀.D₈	φ: C₂.D₈/C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C2.D8)	160,14
C₅⋊₃(C₂.D₈) = C₄₀⋊₅C₄	φ: C₂.D₈/C₂×C₈ → C₂ ⊆ Aut C₅	160		C5:3(C2.D8)	160,25

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