transitive_group_id: [12,164]

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

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

Density: 1

Join: True 

Spectrum: [(-165, 2), (3, 243), (411, 1), (-9, 81), (27, 6), (-1, 243)]