Extensions 1→N→G→Q→1 with N=C₂₂ and Q=C₃×S₃

Direct product G=N×Q with N=C₂₂ and Q=C₃×S₃

		d	ρ	Label	ID
S₃×C₆₆		132	2	S3xC66	396,26

Semidirect products G=N:Q with N=C₂₂ and Q=C₃×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊(C₃×S₃) = C₆×D₃₃	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₂₂	132	2	C22:(C3xS3)	396,27

Non-split extensions G=N.Q with N=C₂₂ and Q=C₃×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.(C₃×S₃) = C₃×Dic₃₃	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₂₂	132	2	C22.(C3xS3)	396,13
C₂₂.₂(C₃×S₃) = Dic₃×C₃₃	central extension (φ=1)	132	2	C22.2(C3xS3)	396,12

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3×S3