transitive_group_id: [18,739]

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

 Stabilizer: ((C3 x C3 x C3 x C3) : D4) x S3 

Density: 1

Join: True 

Spectrum: [(64, 48), (7840, 2), (1, 6144), (-32, 864), (-680, 144), (4, 23040), (616, 144), (-8, 15360), (-308, 144), (50608, 1), (-19376, 1), (-1232, 18), (1360, 18), (16, 5472), (340, 144), (-5768, 8), (-2, 18432)]