Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈○D₈

Direct product G=N×Q with N=C₅ and Q=Q₈○D₈

		d	ρ	Label	ID
C₅×Q₈○D₈		160	4	C5xQ8oD8	320,1580

Semidirect products G=N:Q with N=C₅ and Q=Q₈○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Q₈○D₈) = D₄.₁₃D₂₀	φ: Q₈○D₈/C₈○D₄ → C₂ ⊆ Aut C₅	160	4-	C5:1(Q8oD8)	320,1425
C₅⋊₂(Q₈○D₈) = D₂₀.₃₀D₄	φ: Q₈○D₈/C₂×Q₁₆ → C₂ ⊆ Aut C₅	160	4	C5:2(Q8oD8)	320,1438
C₅⋊₃(Q₈○D₈) = D₂₀.₄₇D₄	φ: Q₈○D₈/C₄○D₈ → C₂ ⊆ Aut C₅	160	4-	C5:3(Q8oD8)	320,1443
C₅⋊₄(Q₈○D₈) = D₂₀.₄₄D₄	φ: Q₈○D₈/C₈.C₂² → C₂ ⊆ Aut C₅	160	8-	C5:4(Q8oD8)	320,1451
C₅⋊₅(Q₈○D₈) = D₂₀.₃₅C₂³	φ: Q₈○D₈/2_-¹⁺⁴ → C₂ ⊆ Aut C₅	160	8-	C5:5(Q8oD8)	320,1510

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