transitive_group_id: [18,441]

 Description: ((C3 x ((C3 x C3) : C3)) : C3) : (C2 x D4) 

 Stabilizer: S3 x S3 x S3 

Density: 1

Join: True 

Spectrum: [(544, 2), (-1184, 1), (-320, 8), (1, 1152), (4, 408), (-8, 288), (10, 288), (-20, 288), (2704, 1), (112, 6), (16, 288), (-104, 6), (-2, 1152)]