{'ambient': '7776.cc', 'aut_centralizer_order': None, 'aut_label': '144.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '72.s1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.o1', '48.p1', '72.s1', '72.u1', '72.cs1', '72.ct1', '72.cu1', '72.cv1', '72.dz1'], 'contains': ['288.a1', '432.bk1', '432.bl1', '432.bm1', '432.bn1', '432.bo1'], 'core': '288.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [2729, -1, 2601, -1], 'generators': [19678982400, 395, 38, 80640], 'id': 245762214, 'label': '7776.cc.144.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '144.bk1', 'projective_image': '7776.cc', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.bk1', 'subgroup_fusion': None, 'weyl_group': '8.3'}