{'ambient': '6144.ze', 'aut_centralizer_order': None, 'aut_label': '4.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3072.A', 'complements': ['1536.BB', '1536.BA', '1536.Z', '1536.W', '1536.Y', '1536.X', '1536.BC', '1536.B', '1536.C', '1536.D', '1536.E', '1536.BD', '1536.BI', '1536.BJ', '1536.BK', '1536.BL'], 'conjugacy_class_count': 4, 'contained_in': ['2.C', '2.H'], 'contains': ['8.C', '8.F', '8.I', '12.CZ', '16.Z', '16.BA'], 'core': '4.J', 'coset_action_label': None, 'count': 4, 'diagramx': [499, 2548, 805, 7073], 'generators': [51091303471599669696, 25903229683158464676480, 6920176418617, 122003583856732942, 1313941673647, 242140587575261560029503, 4097467157062, 108118165243376109012342, 54003503616859417437382, 51468697530548501041], 'id': 229890756, 'label': '6144.ze.4.J', 'mobius_quo': 0, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': ['2.C', '2.H'], 'normal_contains': ['8.C', '8.F', '8.I'], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': '6144.ze', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.J', 'subgroup_fusion': None, 'weyl_group': '2500.l'}
