transitive_group_id: [12,125] Description: (C3 x C3) : ((C2 x C2 x C2 x C2) : C2) Stabilizer: C2 x C2 x S3 Density: 1 Join: True Spectrum: [(-32, 4), (1, 128), (4, 40), (208, 1), (16, 10), (-80, 1), (-8, 40), (-2, 64)]