Extensions 1→N→G→Q→1 with N=C₂×C₂₂ and Q=S₃

Direct product G=N×Q with N=C₂×C₂₂ and Q=S₃

		d	ρ	Label	ID
S₃×C₂×C₂₂		132		S3xC2xC22	264,37

Semidirect products G=N:Q with N=C₂×C₂₂ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₂)⋊₁S₃ = C₁₁×S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂×C₂₂	44	3	(C2xC22):1S3	264,31
(C₂×C₂₂)⋊₂S₃ = C₁₁⋊S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂×C₂₂	44	6+	(C2xC22):2S3	264,32
(C₂×C₂₂)⋊₃S₃ = C₁₁×C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₂₂	132	2	(C2xC22):3S3	264,22
(C₂×C₂₂)⋊₄S₃ = C₃₃⋊₇D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₂₂	132	2	(C2xC22):4S3	264,27
(C₂×C₂₂)⋊₅S₃ = C₂²×D₃₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₂₂	132		(C2xC22):5S3	264,38

Non-split extensions G=N.Q with N=C₂×C₂₂ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₂).S₃ = C₂×Dic₃₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂×C₂₂	264		(C2xC22).S3	264,26
(C₂×C₂₂).₂S₃ = Dic₃×C₂₂	central extension (φ=1)	264		(C2xC22).2S3	264,21

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