transitive_group_id: [18,743]

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

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

Density: 1

Join: True 

Spectrum: [(64, 48), (1, 6144), (-32, 864), (4, 23040), (616, 144), (-8, 15360), (-308, 144), (50608, 1), (1360, 18), (-1232, 27), (-19376, 2), (16, 5472), (340, 144), (-680, 144), (-2, 18432)]