transitive_group_id: [12,274]

 Description: (C3 x C3 x C3 x C3) : ((D4 x D4) : C2) 

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

Density: 1.0

Join: True 

Spectrum: [(6784, 1), (-3584, 1), (-128, 24), (1024, 2), (160, 24), (-1280, 4), (4, 2816), (-32, 128), (40, 128), (64, 128), (1, 2048), (16, 72), (-80, 128), (-8, 768), (-2, 4096)]