transitive_group_id: [18,688]

 Description: ((C3 x C3 x C3 x C3 x C3 x C3) : (C4 x C4)) : C3 

 Stabilizer: (C3 x C3 x C3 x C3 x C3) : (C4 x C2) 

Density: 1

Join: True 

Spectrum: [(-32, 288), (1, 3072), (292, 144), (4, 11520), (-584, 27), (-9656, 2), (712, 18), (-8, 7680), (-146, 144), (16, 2592), (178, 144), (25336, 1), (-356, 144), (-2, 9216)]