{'ambient': '7776.is', 'aut_centralizer_order': None, 'aut_label': '108.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.p1', '36.q1', '36.r1', '36.u1', '54.g1'], 'contains': ['216.bj1', '216.br1', '216.bw1', '216.ct1', '216.cz1', '216.fk1', '216.fp1', '324.f1', '324.y1'], 'core': '2592.a1', 'coset_action_label': None, 'count': 216, 'diagramx': [1761, -1, 2357, -1], 'generators': [1037877120, 449782547972, 46638149122, 280778480640, 470034840581], 'id': 245962817, 'label': '7776.is.108.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.g1', 'old_label': '108.bb1', 'projective_image': '7776.is', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.bb1', 'subgroup_fusion': None, 'weyl_group': '36.10'}