Extensions 1→N→G→Q→1 with N=D₂₀ and Q=C₁₀

Direct product G=N×Q with N=D₂₀ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×D₂₀		80		C10xD20	400,183

Semidirect products G=N:Q with N=D₂₀ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₁C₁₀ = C₅×D₄₀	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₀	80	2	D20:1C10	400,79
D₂₀⋊₂C₁₀ = C₅×D₄⋊D₅	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₀	40	4	D20:2C10	400,87
D₂₀⋊₃C₁₀ = C₅×D₄×D₅	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₀	40	4	D20:3C10	400,185
D₂₀⋊₄C₁₀ = C₅×Q₈⋊₂D₅	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₀	80	4	D20:4C10	400,188
D₂₀⋊₅C₁₀ = C₅×C₄○D₂₀	φ: trivial image	40	2	D20:5C10	400,184

Non-split extensions G=N.Q with N=D₂₀ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₁C₁₀ = C₅×C₄₀⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₀	80	2	D20.1C10	400,78
D₂₀.₂C₁₀ = C₅×Q₈⋊D₅	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₀	80	4	D20.2C10	400,89

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