Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₂₀

Direct product G=N×Q with N=D₁₀ and Q=C₂₀

		d	ρ	Label	ID
D₅×C₂×C₂₀		80		D5xC2xC20	400,182

Semidirect products G=N:Q with N=D₁₀ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁C₂₀ = C₅×D₁₀⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₀	80		D10:1C20	400,86
D₁₀⋊₂C₂₀ = C₅×C₂²⋊F₅	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₀	40	4	D10:2C20	400,141
D₁₀⋊₃C₂₀ = F₅×C₂×C₁₀	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₀	80		D10:3C20	400,214

Non-split extensions G=N.Q with N=D₁₀ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁C₂₀ = C₅×C₈⋊D₅	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₀	80	2	D10.1C20	400,77
D₁₀.₂C₂₀ = C₅×D₅⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₀	80	4	D10.2C20	400,135
D₁₀.₃C₂₀ = C₅×C₄.F₅	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₁₀	80	4	D10.3C20	400,136
D₁₀.₄C₂₀ = D₅×C₄₀	φ: trivial image	80	2	D10.4C20	400,76

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