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

Direct product G=NxQ with N=C₃ and Q=D₆:S₃

		d	ρ	Label	ID
C₃xD₆: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/S₃xC₆ → 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/S₃xC₆ → C₂ ⊆ Aut C₃	72	4-	C3.2(D6:S3)	216,31

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