{'ambient': '3072.bgb', 'aut_centralizer_order': 8, 'aut_label': '96.MX', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.267', 'aut_weyl_index': 96, 'centralizer': '384.GI', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.DR', '48.JB', '48.JC', '48.JK', '48.JL', '48.JO', '48.JP'], 'contains': ['192.MU', '192.NA', '192.NB', '192.NM', '192.NP', '192.QL', '192.QQ'], 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [133970182339249961095537, 79855398717732338388456, 25903229681844523013167, 187973685961890096441600, 1313941673647], 'id': 184760640, 'label': '3072.bgb.96.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '96.mv1', 'projective_image': '3072.bgb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.MX', 'subgroup_fusion': None, 'weyl_group': '32.51'}