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

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

		d	ρ	Label	ID
C₂²×C₁₁₀		440		C2^2xC110	440,51

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₁₀)⋊₁C₂ = D₄×C₅₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₀	220	2	(C2xC110):1C2	440,40
(C₂×C₁₁₀)⋊₂C₂ = C₅₅⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₀	220	2	(C2xC110):2C2	440,38
(C₂×C₁₁₀)⋊₃C₂ = C₂²×D₅₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₀	220		(C2xC110):3C2	440,50
(C₂×C₁₁₀)⋊₄C₂ = C₅×C₁₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₀	220	2	(C2xC110):4C2	440,28
(C₂×C₁₁₀)⋊₅C₂ = C₂×C₁₀×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₀	220		(C2xC110):5C2	440,48
(C₂×C₁₁₀)⋊₆C₂ = C₁₁×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₀	220	2	(C2xC110):6C2	440,33
(C₂×C₁₁₀)⋊₇C₂ = D₅×C₂×C₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₀	220		(C2xC110):7C2	440,49

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₁₀).₁C₂ = C₂×Dic₅₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₀	440		(C2xC110).1C2	440,37
(C₂×C₁₁₀).₂C₂ = C₁₀×Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₀	440		(C2xC110).2C2	440,27
(C₂×C₁₁₀).₃C₂ = Dic₅×C₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₀	440		(C2xC110).3C2	440,32

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