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

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

		d	ρ	Label	ID
C₂×C₂₀		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 = C₄×D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀	20	2	C20:2C2	40,5
C₂₀⋊₃C₂ = C₅×D₄	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 = C₅×Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₀	40	2	C20.3C2	40,11

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