transitive_group_id: [12,242]

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

 Stabilizer: S3 x S3 x S3 

Density: 1.0

Join: True 

Spectrum: [(1, 512), (4, 768), (1960, 1), (-632, 3), (16, 28), (-8, 256), (-2, 1024)]