Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₄⋊C₈

Direct product G=N×Q with N=C₅ and Q=C₂×C₄⋊C₈

		d	ρ	Label	ID
C₁₀×C₄⋊C₈		320		C10xC4:C8	320,923

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₄⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₄⋊C₈) = C₄².₁₁F₅	φ: C₂×C₄⋊C₈/C₄² → C₄ ⊆ Aut C₅	160		C5:1(C2xC4:C8)	320,1017
C₅⋊₂(C₂×C₄⋊C₈) = C₂×C₂₀⋊C₈	φ: C₂×C₄⋊C₈/C₂²×C₄ → C₄ ⊆ Aut C₅	320		C5:2(C2xC4:C8)	320,1085
C₅⋊₃(C₂×C₄⋊C₈) = C₂×Dic₅⋊C₈	φ: C₂×C₄⋊C₈/C₂²×C₄ → C₄ ⊆ Aut C₅	320		C5:3(C2xC4:C8)	320,1090
C₅⋊₄(C₂×C₄⋊C₈) = D₅×C₄⋊C₈	φ: C₂×C₄⋊C₈/C₄⋊C₈ → C₂ ⊆ Aut C₅	160		C5:4(C2xC4:C8)	320,459
C₅⋊₅(C₂×C₄⋊C₈) = C₂×C₂₀⋊₃C₈	φ: C₂×C₄⋊C₈/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:5(C2xC4:C8)	320,550
C₅⋊₆(C₂×C₄⋊C₈) = C₂×C₂₀.₈Q₈	φ: C₂×C₄⋊C₈/C₂²×C₈ → C₂ ⊆ Aut C₅	320		C5:6(C2xC4:C8)	320,726

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