Extensions 1→N→G→Q→1 with N=C₅⋊D₅ and Q=Q₈

Direct product G=N×Q with N=C₅⋊D₅ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₅⋊D₅		200		Q8xC5:D5	400,197

Semidirect products G=N:Q with N=C₅⋊D₅ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₅⋊Q₈ = C₂×C₅²⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₅⋊D₅	20	8+	C5:D5:Q8	400,212
C₅⋊D₅⋊₂Q₈ = Dic₁₀⋊D₅	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊D₅	40	4	C5:D5:2Q8	400,166

Non-split extensions G=N.Q with N=C₅⋊D₅ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₅.₁Q₈ = Dic₅⋊F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₅⋊D₅	20	8+	C5:D5.1Q8	400,126
C₅⋊D₅.₂Q₈ = C₂.D₅≀C₂	φ: Q₈/C₂ → C₂² ⊆ Out C₅⋊D₅	20	4	C5:D5.2Q8	400,130
C₅⋊D₅.₃Q₈ = C₂₀⋊F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊D₅	100		C5:D5.3Q8	400,152
C₅⋊D₅.₄Q₈ = C₂₀⋊₂F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₅⋊D₅	40	4	C5:D5.4Q8	400,159

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