Extensions 1→N→G→Q→1 with N=C₁₀ and Q=Dic₁₁

Direct product G=N×Q with N=C₁₀ and Q=Dic₁₁

		d	ρ	Label	ID
C₁₀×Dic₁₁		440		C10xDic11	440,27

Semidirect products G=N:Q with N=C₁₀ and Q=Dic₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊Dic₁₁ = C₂×C₁₁⋊F₅	φ: Dic₁₁/C₁₁ → C₄ ⊆ Aut C₁₀	110	4	C10:Dic11	440,46
C₁₀⋊₂Dic₁₁ = C₂×Dic₅₅	φ: Dic₁₁/C₂₂ → C₂ ⊆ Aut C₁₀	440		C10:2Dic11	440,37

Non-split extensions G=N.Q with N=C₁₀ and Q=Dic₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.Dic₁₁ = C₅₅⋊C₈	φ: Dic₁₁/C₁₁ → C₄ ⊆ Aut C₁₀	440	4	C10.Dic11	440,16
C₁₀.₂Dic₁₁ = C₅₅⋊₃C₈	φ: Dic₁₁/C₂₂ → C₂ ⊆ Aut C₁₀	440	2	C10.2Dic11	440,5
C₁₀.₃Dic₁₁ = C₅×C₁₁⋊C₈	central extension (φ=1)	440	2	C10.3Dic11	440,4

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Extensions 1→N→G→Q→1 with N=C10 and Q=Dic11