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
C₂×C₄×C₄₀		320		C2xC4xC40	320,903

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) = C₄×D₅⋊C₈	φ: C₂×C₄×C₈/C₄² → C₄ ⊆ Aut C₅	160		C5:1(C2xC4xC8)	320,1013
C₅⋊₂(C₂×C₄×C₈) = C₂×C₈×F₅	φ: C₂×C₄×C₈/C₂×C₈ → C₄ ⊆ Aut C₅	80		C5:2(C2xC4xC8)	320,1054
C₅⋊₃(C₂×C₄×C₈) = C₂×C₄×C₅⋊C₈	φ: C₂×C₄×C₈/C₂²×C₄ → C₄ ⊆ Aut C₅	320		C5:3(C2xC4xC8)	320,1084
C₅⋊₄(C₂×C₄×C₈) = D₅×C₄×C₈	φ: C₂×C₄×C₈/C₄×C₈ → C₂ ⊆ Aut C₅	160		C5:4(C2xC4xC8)	320,311
C₅⋊₅(C₂×C₄×C₈) = C₂×C₄×C₅⋊₂C₈	φ: C₂×C₄×C₈/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:5(C2xC4xC8)	320,547
C₅⋊₆(C₂×C₄×C₈) = C₂×C₈×Dic₅	φ: C₂×C₄×C₈/C₂²×C₈ → C₂ ⊆ Aut C₅	320		C5:6(C2xC4xC8)	320,725

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