Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₂

Direct product G=NxQ with N=C₂₀ and Q=C₂

		d	ρ	Label	ID
C₂xC₂₀		40		C2xC20	40,9

Semidirect products G=N:Q with N=C₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀:₁C₂ = D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀	20	2+	C20:1C2	40,6
C₂₀:₂C₂ = C₄xD₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀	20	2	C20:2C2	40,5
C₂₀:₃C₂ = C₅xD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀	20	2	C20:3C2	40,10

Non-split extensions G=N.Q with N=C₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁C₂ = Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀	40	2-	C20.1C2	40,4
C₂₀.₂C₂ = C₅:₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀	40	2	C20.2C2	40,1
C₂₀.₃C₂ = C₅xQ₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀	40	2	C20.3C2	40,11

Extensions 1→N→G→Q→1 with N=C20 and Q=C2