Extensions 1→N→G→Q→1 with N=C₁₁₀ and Q=C₂

Direct product G=N×Q with N=C₁₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₁₀		220		C2xC110	220,15

Semidirect products G=N:Q with N=C₁₁₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₀⋊₁C₂ = D₁₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₀	110	2+	C110:1C2	220,14
C₁₁₀⋊₂C₂ = C₁₀×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₀	110	2	C110:2C2	220,12
C₁₁₀⋊₃C₂ = D₅×C₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₀	110	2	C110:3C2	220,13

Non-split extensions G=N.Q with N=C₁₁₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₀.₁C₂ = Dic₅₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₀	220	2-	C110.1C2	220,5
C₁₁₀.₂C₂ = C₅×Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₀	220	2	C110.2C2	220,4
C₁₁₀.₃C₂ = C₁₁×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₀	220	2	C110.3C2	220,3

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Extensions 1→N→G→Q→1 with N=C110 and Q=C2