Extensions 1→N→G→Q→1 with N=D₁₁₀ and Q=C₂

Direct product G=N×Q with N=D₁₁₀ and Q=C₂

		d	ρ	Label	ID
C₂²×D₅₅		220		C2^2xD55	440,50

Semidirect products G=N:Q with N=D₁₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₁₀⋊₁C₂ = D₂₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₀	220	2+	D110:1C2	440,36
D₁₁₀⋊₂C₂ = C₅₅⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₀	220	2	D110:2C2	440,38
D₁₁₀⋊₃C₂ = C₅⋊D₄₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₀	220	4+	D110:3C2	440,21
D₁₁₀⋊₄C₂ = C₁₁⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₀	220	4+	D110:4C2	440,22
D₁₁₀⋊₅C₂ = C₂×D₅×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₀	110	4+	D110:5C2	440,47

Non-split extensions G=N.Q with N=D₁₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₁₀.C₂ = D₅₅⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₀	220	4+	D110.C2	440,19
D₁₁₀.₂C₂ = C₄×D₅₅	φ: trivial image	220	2	D110.2C2	440,35

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