transitive_group_id: [18,567]

 Description: ((A4 x A4 x A4) : C2) : C3 

 Stabilizer: (A4 x A4) : C4 

Density: 1

Join: True 

Spectrum: [(-256, 36), (-64, 48), (128, 72), (-2728, 2), (0, 4212), (296, 3), (72, 81), (-24, 729), (8, 2187), (-8, 2187), (-72, 81), (7640, 1), (24, 729)]