transitive_group_id: [18,749]

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

 Stabilizer: ((C3 x C3 x C3 x C3) : (C2 x C2 x C2)) x S3 

Density: 1

Join: True 

Spectrum: [(-32, 1152), (64, 90), (1, 6144), (4, 23040), (58384, 1), (-11600, 5), (16, 5760), (-8, 15360), (-2, 18432)]