{'ambient': '2916.ea', 'aut_centralizer_order': 27, 'aut_label': '36.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '648.734', 'aut_weyl_index': 54, 'centralizer': '324.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '12.b1.a1', '12.j1.a1', '18.c1.b1', '18.e1.a1', '18.t1.a1'], 'contains': ['108.a1.a1', '108.c1.a1', '108.g1.b1', '108.w1.b1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3087, 6462, 8124, 1442, 3396, 6682, 6084, 2573], 'generators': [1866513559823997, 711468341383203, 93448857844, 80788], 'id': 183724883, 'label': '2916.ea.36.b1.a1', 'mobius_quo': 0, 'mobius_sub': 18, 'normal_closure': '36.b1.a1', 'normal_contained_in': ['12.a1.a1', '12.b1.a1'], 'normal_contains': ['108.a1.a1', '108.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.b1.a1', 'projective_image': '2916.ea', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.b1.a1', 'subgroup_fusion': None, 'weyl_group': '324.167'}