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

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

		d	ρ	Label	ID
C₂₀²		400		C20^2	400,108

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁C₂₀ = C₅×C₄⋊F₅	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂₀	80	4	C20:1C20	400,138
C₂₀⋊₂C₂₀ = C₂₀×F₅	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂₀	80	4	C20:2C20	400,137
C₂₀⋊₃C₂₀ = C₅×C₄⋊Dic₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₀	80		C20:3C20	400,85
C₂₀⋊₄C₂₀ = Dic₅×C₂₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₀	80		C20:4C20	400,83
C₂₀⋊₅C₂₀ = C₄⋊C₄×C₅²	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20:5C20	400,110

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁C₂₀ = C₅×C₄.F₅	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂₀	80	4	C20.1C20	400,136
C₂₀.₂C₂₀ = C₅×C₅⋊C₁₆	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂₀	80	4	C20.2C20	400,56
C₂₀.₃C₂₀ = C₅×D₅⋊C₈	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂₀	80	4	C20.3C20	400,135
C₂₀.₄C₂₀ = C₅×C₄.Dic₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₀	40	2	C20.4C20	400,82
C₂₀.₅C₂₀ = C₅×C₅⋊₂C₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₀	80	2	C20.5C20	400,49
C₂₀.₆C₂₀ = C₁₀×C₅⋊₂C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₀	80		C20.6C20	400,81
C₂₀.₇C₂₀ = C₄⋊C₄×C₂₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.7C20	400,22
C₂₀.₈C₂₀ = M₄(2)×C₂₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₀	200	2	C20.8C20	400,24
C₂₀.₉C₂₀ = M₄(2)×C₅²	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.9C20	400,112

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