Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄⋊Q₈

Direct product G=N×Q with N=C₅ and Q=C₄⋊Q₈

		d	ρ	Label	ID
C₅×C₄⋊Q₈		160		C5xC4:Q8	160,189

Semidirect products G=N:Q with N=C₅ and Q=C₄⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄⋊Q₈) = C₂₀⋊₂Q₈	φ: C₄⋊Q₈/C₄² → C₂ ⊆ Aut C₅	160		C5:1(C4:Q8)	160,90
C₅⋊₂(C₄⋊Q₈) = C₂₀⋊Q₈	φ: C₄⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C4:Q8)	160,109
C₅⋊₃(C₄⋊Q₈) = Dic₅⋊Q₈	φ: C₄⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₅	160		C5:3(C4:Q8)	160,165

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