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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₂)⋊₁D₅ = C₁₁×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₂	220	2	(C2xC22):1D5	440,33
(C₂×C₂₂)⋊₂D₅ = C₅₅⋊₇D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₂	220	2	(C2xC22):2D5	440,38
(C₂×C₂₂)⋊₃D₅ = C₂²×D₅₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₂	220		(C2xC22):3D5	440,50

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₂).D₅ = C₂×Dic₅₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₂	440		(C2xC22).D5	440,37
(C₂×C₂₂).₂D₅ = Dic₅×C₂₂	central extension (φ=1)	440		(C2xC22).2D5	440,32

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