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

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

		d	ρ	Label	ID
S₃×C₂₂		66	2	S3xC22	132,8

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊S₃ = D₆₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂₂	66	2+	C22:S3	132,9

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.S₃ = Dic₃₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂₂	132	2-	C22.S3	132,3
C₂₂.₂S₃ = C₁₁×Dic₃	central extension (φ=1)	132	2	C22.2S3	132,1

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