{'ambient': '256.30836', 'aut_centralizer_order': 512, 'aut_label': '32.cj1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '4.2', 'aut_weyl_index': 8192, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '16.cp1.b1', '16.dw1.b1', '16.en1.j1', '16.en1.n1'], 'contains': ['64.j1.b1', '64.l1.a1', '64.m1.b1', '64.dj1.j1', '64.dj1.n1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8893, -1, 4230, -1, 8898, -1, 4227, -1], 'generators': [34, 4, 128], 'id': 30879793, 'label': '256.30836.32.cj1.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.cj1.f1', 'projective_image': '128.2222', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cj1.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}