{'ambient': '256.30836', 'aut_centralizer_order': 4096, 'aut_label': '64.bu1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 16384, 'centralizer': '2.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.j1.b1', '32.m1.a1', '32.em1.a1', '32.gb1.c1', '32.gb1.d1', '32.gc1.c1', '32.gc1.d1', '32.gd1.c1', '32.gd1.d1', '32.ge1.b1'], 'contains': ['128.d1.a1', '128.h1.b1', '128.h1.c1'], 'core': '128.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8787, -1, 4258, -1, 8792, -1, 4255, -1], 'generators': [130, 160], 'id': 30878716, 'label': '256.30836.64.bu1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.j1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '64.bu1.b1', 'projective_image': '128.2222', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bu1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}