Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₁₀

Direct product G=N×Q with N=C₂₀ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₂₀		200		C10xC20	200,37

Semidirect products G=N:Q with N=C₂₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁C₁₀ = C₅×D₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₀	40	2	C20:1C10	200,29
C₂₀⋊₂C₁₀ = D₅×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₀	40	2	C20:2C10	200,28
C₂₀⋊₃C₁₀ = D₄×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₀	100		C20:3C10	200,38

Non-split extensions G=N.Q with N=C₂₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁C₁₀ = C₅×Dic₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₀	40	2	C20.1C10	200,27
C₂₀.₂C₁₀ = C₅×C₅⋊₂C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₀	40	2	C20.2C10	200,15
C₂₀.₃C₁₀ = D₄×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₀	100	2	C20.3C10	200,10
C₂₀.₄C₁₀ = Q₈×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₀	200	2	C20.4C10	200,11
C₂₀.₅C₁₀ = Q₈×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₀	200		C20.5C10	200,39

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