transitive_group_id: [18,742]

 Description: (S3 x ((C3 x C3 x C3) : (C2 x C2)) x S3 x S3) : C3 

 Stabilizer: S3 x ((C3 x C3 x C3) : (C2 x C2)) x S3 

Density: 1

Join: True 

Spectrum: [(1, 6144), (4, 18432), (10, 4608), (2188, 9), (13, 2304), (-500, 144), (16, 288), (280, 9), (292, 288), (-728, 18), (52012, 1), (-212, 144), (52, 2304), (568, 9), (-1340, 3), (-440, 18), (-56, 144), (-17972, 2), (-176, 144), (856, 9), (88, 144), (-8, 6144), (-32, 288), (-3356, 9), (-26, 4608), (106, 144), (-20, 2304), (-146, 288), (112, 144), (1144, 9), (250, 144), (-5, 2304), (-2, 18432)]