{'ambient': '768.1090070', 'aut_centralizer_order': 64, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '12.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bi1', '24.bn1', '24.bo1', '24.bp1', '24.bq1', '24.bw1', '24.ce1'], 'contains': ['96.c1', '96.c2', '96.j1', '96.z1', '96.by1', '96.bz1', '96.ca1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6204, -1, 3038, -1], 'generators': [22186920, 262459440, 135732240, 7], 'id': 68518480, 'label': '768.1090070.48.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cg1', 'projective_image': '768.1090070', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1', 'subgroup_fusion': None, 'weyl_group': '2.1'}