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

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

		d	ρ	Label	ID
C₂×C₂₂₀		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 = C₂×C₁₁⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₁₁₀	110	4	C110:1C4	440,46
C₁₁₀⋊₂C₄ = F₅×C₂₂	φ: C₄/C₁ → C₄ ⊆ Aut C₁₁₀	110	4	C110:2C4	440,45
C₁₁₀⋊₃C₄ = C₂×Dic₅₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₀	440		C110:3C4	440,37
C₁₁₀⋊₄C₄ = C₁₀×Dic₁₁	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₀	440		C110:4C4	440,27
C₁₁₀⋊₅C₄ = Dic₅×C₂₂	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 = C₁₁×C₅⋊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 = C₅×C₁₁⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₀	440	2	C110.4C4	440,4
C₁₁₀.₅C₄ = C₁₁×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₀	440	2	C110.5C4	440,3

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