Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆⋊S₃

Direct product G=N×Q with N=C₃ and Q=D₆⋊S₃

		d	ρ	Label	ID
C₃×D₆⋊S₃		24	4	C3xD6:S3	216,121

Semidirect products G=N:Q with N=C₃ and Q=D₆⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆⋊S₃) = C₃³⋊₉D₄	φ: D₆⋊S₃/C₃⋊Dic₃ → C₂ ⊆ Aut C₃	24	4	C3:1(D6:S3)	216,132
C₃⋊₂(D₆⋊S₃) = C₃³⋊₆D₄	φ: D₆⋊S₃/S₃×C₆ → C₂ ⊆ Aut C₃	72		C3:2(D6:S3)	216,127

Non-split extensions G=N.Q with N=C₃ and Q=D₆⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(D₆⋊S₃) = He₃⋊₂D₄	φ: D₆⋊S₃/C₃⋊Dic₃ → C₂ ⊆ Aut C₃	36	6+	C3.1(D6:S3)	216,35
C₃.₂(D₆⋊S₃) = D₆⋊D₉	φ: D₆⋊S₃/S₃×C₆ → C₂ ⊆ Aut C₃	72	4-	C3.2(D6:S3)	216,31

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Extensions 1→N→G→Q→1 with N=C3 and Q=D6⋊S3