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

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

		d	ρ	Label	ID
C₅×C₄⋊C₈		160		C5xC4:C8	160,55

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄⋊C₈) = C₂₀⋊C₈	φ: C₄⋊C₈/C₂×C₄ → C₄ ⊆ Aut C₅	160		C5:1(C4:C8)	160,76
C₅⋊₂(C₄⋊C₈) = Dic₅⋊C₈	φ: C₄⋊C₈/C₂×C₄ → C₄ ⊆ Aut C₅	160		C5:2(C4:C8)	160,79
C₅⋊₃(C₄⋊C₈) = C₂₀⋊₃C₈	φ: C₄⋊C₈/C₄² → C₂ ⊆ Aut C₅	160		C5:3(C4:C8)	160,11
C₅⋊₄(C₄⋊C₈) = C₂₀.₈Q₈	φ: C₄⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₅	160		C5:4(C4:C8)	160,21

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