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
C₅×C₄○D₈		80	2	C5xC4oD8	160,196

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄○D₈) = D₄₀⋊₇C₂	φ: C₄○D₈/C₂×C₈ → C₂ ⊆ Aut C₅	80	2	C5:1(C4oD8)	160,125
C₅⋊₂(C₄○D₈) = D₈⋊₃D₅	φ: C₄○D₈/D₈ → C₂ ⊆ Aut C₅	80	4-	C5:2(C4oD8)	160,133
C₅⋊₃(C₄○D₈) = SD₁₆⋊₃D₅	φ: C₄○D₈/SD₁₆ → C₂ ⊆ Aut C₅	80	4	C5:3(C4oD8)	160,137
C₅⋊₄(C₄○D₈) = Q₈.D₁₀	φ: C₄○D₈/Q₁₆ → C₂ ⊆ Aut C₅	80	4+	C5:4(C4oD8)	160,140
C₅⋊₅(C₄○D₈) = D₄.₈D₁₀	φ: C₄○D₈/C₄○D₄ → C₂ ⊆ Aut C₅	80	4	C5:5(C4oD8)	160,171

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