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

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

		d	ρ	Label	ID
C₃×C₃⋊S₃		18		C3xC3:S3	54,13

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃⋊S₃) = C₃³⋊C₂	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₃	27		C3:(C3:S3)	54,14

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃⋊S₃) = C₉⋊S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₃	27		C3.(C3:S3)	54,7
C₃.₂(C₃⋊S₃) = He₃⋊C₂	central stem extension (φ=1)	9	3	C3.2(C3:S3)	54,8

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