{'ambient': '256.29702', 'aut_centralizer_order': 32768, 'aut_label': '64.c1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 131072, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.a1', '32.c1', '32.v1', '32.w1', '32.x1', '32.y1', '32.z1'], 'contains': ['128.a1', '128.d1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [6871, 7423, 6852, 7337], 'generators': [2, 128], 'id': 30063495, 'label': '256.29702.64.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.c1', 'normal_contained_in': ['32.a1', '32.c1'], 'normal_contains': ['128.a1'], 'normalizer': '1.a1', 'old_label': '64.c1', 'projective_image': '128.2177', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.46', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}