Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₂₀

Direct product G=N×Q with N=Dic₅ and Q=C₂₀

		d	ρ	Label	ID
Dic₅×C₂₀		80		Dic5xC20	400,83

Semidirect products G=N:Q with N=Dic₅ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁C₂₀ = C₅×C₁₀.D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₅	80		Dic5:1C20	400,84
Dic₅⋊₂C₂₀ = C₂₀×F₅	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5:2C20	400,137
Dic₅⋊₃C₂₀ = C₅×C₄⋊F₅	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5:3C20	400,138

Non-split extensions G=N.Q with N=Dic₅ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁C₂₀ = C₅×C₈⋊D₅	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₅	80	2	Dic5.1C20	400,77
Dic₅.₂C₂₀ = C₁₀×C₅⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₅	80		Dic5.2C20	400,139
Dic₅.₃C₂₀ = C₅×C₂².F₅	φ: C₂₀/C₁₀ → C₂ ⊆ Out Dic₅	40	4	Dic5.3C20	400,140
Dic₅.₄C₂₀ = D₅×C₄₀	φ: trivial image	80	2	Dic5.4C20	400,76

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