Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃

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

		d	ρ	Label	ID
S₃×C₆		12	2	S3xC6	36,12

Semidirect products G=N:Q with N=C₆ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊S₃ = C₂×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₆	18		C6:S3	36,13

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁S₃ = Dic₉	φ: S₃/C₃ → C₂ ⊆ Aut C₆	36	2-	C6.1S3	36,1
C₆.₂S₃ = D₁₈	φ: S₃/C₃ → C₂ ⊆ Aut C₆	18	2+	C6.2S3	36,4
C₆.₃S₃ = C₃⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₆	36		C6.3S3	36,7
C₆.₄S₃ = C₃×Dic₃	central extension (φ=1)	12	2	C6.4S3	36,6

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Extensions 1→N→G→Q→1 with N=C6 and Q=S3