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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₂)⋊₁C₁₀ = C₂²⋊F₁₁	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₂×C₂₂	44	10	(C2xC22):1C10	440,11
(C₂×C₂₂)⋊₂C₁₀ = C₂²×F₁₁	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₂×C₂₂	44		(C2xC22):2C10	440,42
(C₂×C₂₂)⋊₃C₁₀ = D₄×C₁₁⋊C₅	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₂×C₂₂	44	10	(C2xC22):3C10	440,13
(C₂×C₂₂)⋊₄C₁₀ = C₂³×C₁₁⋊C₅	φ: C₁₀/C₂ → C₅ ⊆ Aut C₂×C₂₂	88		(C2xC22):4C10	440,44
(C₂×C₂₂)⋊₅C₁₀ = D₄×C₅₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₂	220	2	(C2xC22):5C10	440,40
(C₂×C₂₂)⋊₆C₁₀ = C₅×C₁₁⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₂	220	2	(C2xC22):6C10	440,28
(C₂×C₂₂)⋊₇C₁₀ = C₂×C₁₀×D₁₁	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₂	220		(C2xC22):7C10	440,48

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₂).C₁₀ = C₂×C₁₁⋊C₂₀	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₂×C₂₂	88		(C2xC22).C10	440,10
(C₂×C₂₂).₂C₁₀ = C₂×C₄×C₁₁⋊C₅	φ: C₁₀/C₂ → C₅ ⊆ Aut C₂×C₂₂	88		(C2xC22).2C10	440,12
(C₂×C₂₂).₃C₁₀ = C₁₀×Dic₁₁	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₂	440		(C2xC22).3C10	440,27

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