Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂×C₂₂

Direct product G=N×Q with N=C₁₀ and Q=C₂×C₂₂

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

Semidirect products G=N:Q with N=C₁₀ and Q=C₂×C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₂×C₂₂) = D₅×C₂×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	220		C10:(C2xC22)	440,49

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂×C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₂×C₂₂) = C₁₁×Dic₁₀	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	440	2	C10.1(C2xC22)	440,29
C₁₀.₂(C₂×C₂₂) = D₅×C₄₄	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	220	2	C10.2(C2xC22)	440,30
C₁₀.₃(C₂×C₂₂) = C₁₁×D₂₀	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	220	2	C10.3(C2xC22)	440,31
C₁₀.₄(C₂×C₂₂) = Dic₅×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	440		C10.4(C2xC22)	440,32
C₁₀.₅(C₂×C₂₂) = C₁₁×C₅⋊D₄	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	220	2	C10.5(C2xC22)	440,33
C₁₀.₆(C₂×C₂₂) = D₄×C₅₅	central extension (φ=1)	220	2	C10.6(C2xC22)	440,40
C₁₀.₇(C₂×C₂₂) = Q₈×C₅₅	central extension (φ=1)	440	2	C10.7(C2xC22)	440,41

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