Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂₀

Direct product G=N×Q with N=Q₈ and Q=C₂₀

		d	ρ	Label	ID
Q₈×C₂₀		160		Q8xC20	160,180

Semidirect products G=N:Q with N=Q₈ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁C₂₀ = C₅×Q₈⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out Q₈	160		Q8:1C20	160,53
Q₈⋊₂C₂₀ = C₅×C₄≀C₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out Q₈	40	2	Q8:2C20	160,54

Non-split extensions G=N.Q with N=Q₈ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.C₂₀ = C₅×C₈○D₄	φ: trivial image	80	2	Q8.C20	160,192

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C20