Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³⋊Q₈

Direct product G=N×Q with N=C₅ and Q=C₂³⋊Q₈

		d	ρ	Label	ID
C₅×C₂³⋊Q₈		160		C5xC2^3:Q8	320,894

Semidirect products G=N:Q with N=C₅ and Q=C₂³⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³⋊Q₈) = (C₂×C₄).₂₀D₂₀	φ: C₂³⋊Q₈/C₂.C₄² → C₂ ⊆ Aut C₅	160		C5:1(C2^3:Q8)	320,300
C₅⋊₂(C₂³⋊Q₈) = C₂³⋊Dic₁₀	φ: C₂³⋊Q₈/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C2^3:Q8)	320,574
C₅⋊₃(C₂³⋊Q₈) = (C₂²×D₅)⋊Q₈	φ: C₂³⋊Q₈/C₂²×Q₈ → C₂ ⊆ Aut C₅	160		C5:3(C2^3:Q8)	320,858

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