Extensions 1→N→G→Q→1 with N=C₂₀ and Q=D₉

Direct product G=N×Q with N=C₂₀ and Q=D₉

		d	ρ	Label	ID
D₉×C₂₀		180	2	D9xC20	360,21

Semidirect products G=N:Q with N=C₂₀ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁D₉ = D₁₈₀	φ: D₉/C₉ → C₂ ⊆ Aut C₂₀	180	2+	C20:1D9	360,27
C₂₀⋊₂D₉ = C₄×D₄₅	φ: D₉/C₉ → C₂ ⊆ Aut C₂₀	180	2	C20:2D9	360,26
C₂₀⋊₃D₉ = C₅×D₃₆	φ: D₉/C₉ → C₂ ⊆ Aut C₂₀	180	2	C20:3D9	360,22

Non-split extensions G=N.Q with N=C₂₀ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁D₉ = Dic₉₀	φ: D₉/C₉ → C₂ ⊆ Aut C₂₀	360	2-	C20.1D9	360,25
C₂₀.₂D₉ = C₄₅⋊₃C₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂₀	360	2	C20.2D9	360,3
C₂₀.₃D₉ = C₅×Dic₁₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂₀	360	2	C20.3D9	360,20
C₂₀.₄D₉ = C₅×C₉⋊C₈	central extension (φ=1)	360	2	C20.4D9	360,1

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