transitive_group_id: [12,244] Description: (C3 x C3 x C3 x C3) : ((C8 : C2) : 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)]