{'ambient': '864.4704', 'aut_centralizer_order': 144, 'aut_label': '24.d1', 'aut_quo_index': 1, 'aut_stab_index': 48, 'aut_weyl_group': '72.40', 'aut_weyl_index': 6912, 'centralizer': '36.a1', 'complements': ['36.a1', '36.k1', '36.l1', '36.f1', '36.m1', '36.n1', '36.o1', '36.b1', '36.c1', '36.e1', '36.g1', '36.p1'], 'conjugacy_class_count': 48, 'contained_in': ['8.f1', '12.a1', '12.p1'], 'contains': ['48.b1', '48.c1', '72.q1'], 'core': '24.d1', 'coset_action_label': None, 'count': 48, 'diagramx': [7029, 4882, 9298, 4454], 'generators': [27611, 27451, 27601, 40966], 'id': 275184640, 'label': '864.4704.24.d1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.d1', 'normal_contained_in': ['8.f1', '12.a1'], 'normal_contains': ['48.b1', '48.c1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '864.4704', 'quotient_action_image': '6.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '36.10'}