Extensions 1→N→G→Q→1 with N=D₈ and Q=C₂₀

Direct product G=N×Q with N=D₈ and Q=C₂₀

		d	ρ	Label	ID
D₈×C₂₀		160		D8xC20	320,938

Semidirect products G=N:Q with N=D₈ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁C₂₀ = C₅×C₂.D₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₈	160		D8:1C20	320,162
D₈⋊₂C₂₀ = C₅×D₈⋊₂C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₈	80	4	D8:2C20	320,165
D₈⋊₃C₂₀ = C₅×D₈⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₈	160		D8:3C20	320,943
D₈⋊₄C₂₀ = C₅×C₈.₂₆D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₈	80	4	D8:4C20	320,945
D₈⋊₅C₂₀ = C₅×C₈○D₈	φ: trivial image	80	2	D8:5C20	320,944

Non-split extensions G=N.Q with N=D₈ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁C₂₀ = C₅×D₈.C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₈	160	2	D8.1C20	320,164
D₈.₂C₂₀ = C₅×M₅(2)⋊C₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₈	80	4	D8.2C20	320,166

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