transitive_group_id: [12,243]

 Description: (C3 x C3 x C3 x C3) : (C8 : (C2 x C2)) 

 Stabilizer: S3 x S3 x S3 

Density: 1.0

Join: True 

Spectrum: [(1, 512), (-956, 1), (1636, 1), (4, 768), (-308, 4), (16, 24), (340, 2), (-8, 256), (-2, 1024)]