transitive_group_id: [18,683]

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

 Stabilizer: (C3 x C3 x C3 x C3 x C3) : D4 

Density: 1

Join: True 

Spectrum: [(-32, 288), (1, 3072), (-356, 144), (292, 144), (4, 11520), (-584, 18), (-9656, 1), (712, 18), (-8, 7680), (-146, 144), (3952, 2), (16, 2592), (178, 144), (25336, 1), (-2852, 8), (-2, 9216)]