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

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

		d	ρ	Label	ID
C₂×C₉₀		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 = C₁₀×D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₉₀	90	2	C90:2C2	180,10
C₉₀⋊₃C₂ = D₅×C₁₈	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 = C₅×Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₉₀	180	2	C90.2C2	180,1
C₉₀.₃C₂ = C₉×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₉₀	180	2	C90.3C2	180,2

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