Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=C₃×C₆

Direct product G=N×Q with N=C₃⋊S₃ and Q=C₃×C₆

		d	ρ	Label	ID
C₃⋊S₃×C₃×C₆		36		C3:S3xC3xC6	324,173

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊(C₃×C₆) = C₆×C₃²⋊C₆	φ: C₃×C₆/C₆ → C₃ ⊆ Out C₃⋊S₃	36	6	C3:S3:(C3xC6)	324,138
C₃⋊S₃⋊₂(C₃×C₆) = S₃²×C₃²	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₃⋊S₃	36		C3:S3:2(C3xC6)	324,165

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.(C₃×C₆) = C₃²×C₃²⋊C₄	φ: C₃×C₆/C₃² → C₂ ⊆ Out C₃⋊S₃	36		C3:S3.(C3xC6)	324,161

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Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=C3×C6