transitive_group_id: [12,121]

 Description: C3 x ((S3 x S3) : C2) 

 Stabilizer: C3 x S3 

Density: 1

Join: True 

Spectrum: [(0, 64), (3, 88), (165, 1), (9, 6), (-21, 4), (-51, 1), (-9, 32), (-3, 20)]