Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄×D₈

Direct product G=N×Q with N=C₅ and Q=C₄×D₈

		d	ρ	Label	ID
D₈×C₂₀		160		D8xC20	320,938

Semidirect products G=N:Q with N=C₅ and Q=C₄×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄×D₈) = D₈×F₅	φ: C₄×D₈/D₈ → C₄ ⊆ Aut C₅	40	8+	C5:(C4xD8)	320,1068
C₅⋊₂(C₄×D₈) = C₄×D₄₀	φ: C₄×D₈/C₄×C₈ → C₂ ⊆ Aut C₅	160		C5:2(C4xD8)	320,319
C₅⋊₃(C₄×D₈) = Dic₅⋊₄D₈	φ: C₄×D₈/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:3(C4xD8)	320,383
C₅⋊₄(C₄×D₈) = D₄₀⋊₁₂C₄	φ: C₄×D₈/C₂.D₈ → C₂ ⊆ Aut C₅	160		C5:4(C4xD8)	320,499
C₅⋊₅(C₄×D₈) = C₄×D₄⋊D₅	φ: C₄×D₈/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:5(C4xD8)	320,640
C₅⋊₆(C₄×D₈) = D₈×Dic₅	φ: C₄×D₈/C₂×D₈ → C₂ ⊆ Aut C₅	160		C5:6(C4xD8)	320,776

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