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
C₁₀×C₄.Q₈		320		C10xC4.Q8	320,926

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×C₄₀⋊C₄	φ: C₂×C₄.Q₈/C₂×C₈ → C₄ ⊆ Aut C₅	80		C5:(C2xC4.Q8)	320,1057
C₅⋊₂(C₂×C₄.Q₈) = D₅×C₄.Q₈	φ: C₂×C₄.Q₈/C₄.Q₈ → C₂ ⊆ Aut C₅	160		C5:2(C2xC4.Q8)	320,486
C₅⋊₃(C₂×C₄.Q₈) = C₂×C₂₀.Q₈	φ: C₂×C₄.Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:3(C2xC4.Q8)	320,590
C₅⋊₄(C₂×C₄.Q₈) = C₂×C₄₀⋊₆C₄	φ: C₂×C₄.Q₈/C₂²×C₈ → C₂ ⊆ Aut C₅	320		C5:4(C2xC4.Q8)	320,731

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