Extensions 1→N→G→Q→1 with N=C₁₁₀ and Q=C₄

Direct product G=NxQ with N=C₁₁₀ and Q=C₄

		d	ρ	Label	ID
C₂xC₂₂₀		440		C2xC220	440,39

Semidirect products G=N:Q with N=C₁₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₀:₁C₄ = C₂xC₁₁:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₁₁₀	110	4	C110:1C4	440,46
C₁₁₀:₂C₄ = F₅xC₂₂	φ: C₄/C₁ → C₄ ⊆ Aut C₁₁₀	110	4	C110:2C4	440,45
C₁₁₀:₃C₄ = C₂xDic₅₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₀	440		C110:3C4	440,37
C₁₁₀:₄C₄ = C₁₀xDic₁₁	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₀	440		C110:4C4	440,27
C₁₁₀:₅C₄ = Dic₅xC₂₂	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₀	440		C110:5C4	440,32

Non-split extensions G=N.Q with N=C₁₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₀.₁C₄ = C₅₅:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₁₁₀	440	4	C110.1C4	440,16
C₁₁₀.₂C₄ = C₁₁xC₅:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₁₁₀	440	4	C110.2C4	440,15
C₁₁₀.₃C₄ = C₅₅:₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₀	440	2	C110.3C4	440,5
C₁₁₀.₄C₄ = C₅xC₁₁:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₀	440	2	C110.4C4	440,4
C₁₁₀.₅C₄ = C₁₁xC₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₀	440	2	C110.5C4	440,3

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