transitive_group_id: [12,228]

 Description: (C2 x C2 x C2 x C2 x C2 x C2) : (C9 : C3) 

 Stabilizer: A4 x A4 

Density: 1

Join: True 

Spectrum: [(3, 729), (1179, 1), (-549, 2), (-9, 243), (27, 24), (-1, 729)]