Extensions 1→N→G→Q→1 with N=D₅×C₂₂ and Q=C₂

Direct product G=N×Q with N=D₅×C₂₂ and Q=C₂

		d	ρ	Label	ID
D₅×C₂×C₂₂		220		D5xC2xC22	440,49

Semidirect products G=N:Q with N=D₅×C₂₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂₂)⋊₁C₂ = C₅₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₂	220	4-	(D5xC22):1C2	440,20
(D₅×C₂₂)⋊₂C₂ = C₁₁⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₂	220	4+	(D5xC22):2C2	440,22
(D₅×C₂₂)⋊₃C₂ = C₂×D₅×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₂	110	4+	(D5xC22):3C2	440,47
(D₅×C₂₂)⋊₄C₂ = C₁₁×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₂	220	2	(D5xC22):4C2	440,31
(D₅×C₂₂)⋊₅C₂ = C₁₁×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₂	220	2	(D5xC22):5C2	440,33

Non-split extensions G=N.Q with N=D₅×C₂₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂₂).₁C₂ = D₅×Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₂	220	4-	(D5xC22).1C2	440,18
(D₅×C₂₂).₂C₂ = C₂×C₁₁⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₂	110	4	(D5xC22).2C2	440,46
(D₅×C₂₂).₃C₂ = F₅×C₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₂	110	4	(D5xC22).3C2	440,45
(D₅×C₂₂).₄C₂ = D₅×C₄₄	φ: trivial image	220	2	(D5xC22).4C2	440,30

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