Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xDic₃

Direct product G=NxQ with N=C₃ and Q=S₃xDic₃

		d	ρ	Label	ID
C₃xS₃xDic₃		24	4	C3xS3xDic3	216,119

Semidirect products G=N:Q with N=C₃ and Q=S₃xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xDic₃) = Dic₃xC₃:S₃	φ: S₃xDic₃/C₃xDic₃ → C₂ ⊆ Aut C₃	72		C3:1(S3xDic3)	216,125
C₃:₂(S₃xDic₃) = C₃³:₉(C₂xC₄)	φ: S₃xDic₃/C₃:Dic₃ → C₂ ⊆ Aut C₃	24	4	C3:2(S3xDic3)	216,131
C₃:₃(S₃xDic₃) = S₃xC₃:Dic₃	φ: S₃xDic₃/S₃xC₆ → C₂ ⊆ Aut C₃	72		C3:3(S3xDic3)	216,124

Non-split extensions G=N.Q with N=C₃ and Q=S₃xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃xDic₃) = Dic₃xD₉	φ: S₃xDic₃/C₃xDic₃ → C₂ ⊆ Aut C₃	72	4-	C3.1(S3xDic3)	216,27
C₃.₂(S₃xDic₃) = C₆.S₃²	φ: S₃xDic₃/C₃:Dic₃ → C₂ ⊆ Aut C₃	36	6	C3.2(S3xDic3)	216,34
C₃.₃(S₃xDic₃) = S₃xDic₉	φ: S₃xDic₃/S₃xC₆ → C₂ ⊆ Aut C₃	72	4-	C3.3(S3xDic3)	216,30

Extensions 1→N→G→Q→1 with N=C3 and Q=S3xDic3