transitive_group_id: [12,265]

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

 Stabilizer: C3 x A4 x A4 

Density: 1

Join: True 

Spectrum: [(3, 2187), (-1701, 2), (3483, 1), (-9, 729), (27, 78), (-1, 2187)]