transitive_group_id: [12,289]

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

 Stabilizer: C2 x (((((C3 x C3 x C3) : (C2 x C2)) : C3) : C2) : C2) 

Density: 1.0

Join: False 

Spectrum: [(16000, 1), (-1280, 1), (2176, 4), (1024, 9), (-3584, 9), (-128, 72), (1, 6144), (4, 6912), (16, 120), (1312, 16), (160, 72), (-224, 64), (40, 1152), (-80, 576), (448, 16), (64, 576), (208, 256), (-32, 1152), (-416, 64), (-656, 64), (-8, 1536), (-2, 12288)]