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

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

		d	ρ	Label	ID
C₃×S₃×C₃⋊S₃		36		C3xS3xC3:S3	324,166

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₃)⋊(C₃⋊S₃) = S₃×C₃³⋊C₂	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₃×S₃	54		(C3xS3):(C3:S3)	324,168

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₃).(C₃⋊S₃) = S₃×C₉⋊S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₃×S₃	54		(C3xS3).(C3:S3)	324,120
(C₃×S₃).₂(C₃⋊S₃) = S₃×He₃⋊C₂	φ: trivial image	18	6	(C3xS3).2(C3:S3)	324,122

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