Extensions 1→N→G→Q→1 with N=C₉₀ and Q=C₂

Direct product G=NxQ with N=C₉₀ and Q=C₂

		d	ρ	Label	ID
C₂xC₉₀		180		C2xC90	180,12

Semidirect products G=N:Q with N=C₉₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉₀:₁C₂ = D₉₀	φ: C₂/C₁ → C₂ ⊆ Aut C₉₀	90	2+	C90:1C2	180,11
C₉₀:₂C₂ = C₁₀xD₉	φ: C₂/C₁ → C₂ ⊆ Aut C₉₀	90	2	C90:2C2	180,10
C₉₀:₃C₂ = D₅xC₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₉₀	90	2	C90:3C2	180,9

Non-split extensions G=N.Q with N=C₉₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉₀.₁C₂ = Dic₄₅	φ: C₂/C₁ → C₂ ⊆ Aut C₉₀	180	2-	C90.1C2	180,3
C₉₀.₂C₂ = C₅xDic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₉₀	180	2	C90.2C2	180,1
C₉₀.₃C₂ = C₉xDic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₉₀	180	2	C90.3C2	180,2

Extensions 1→N→G→Q→1 with N=C90 and Q=C2