{'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.v1', '6048.dj2', '6048.dm1', '6048.dn1'], 'contains': ['24192.q1', '24192.q2', '24192.r3', '24192.r6', '24192.bu3', '24192.bu6', '24192.bv1', '24192.bv4', '24192.bz1', '24192.bz2', '24192.ca1', '24192.ca2', '24192.cb1', '24192.du1', '24192.dy1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2495, -1, 6453, -1], 'generators': [357001369769646, 5160, 121, 356995102464007, 1307674368001], 'id': 66250240, 'label': '387072.a.12096.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '12096.dd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dd1', 'subgroup_fusion': None, 'weyl_group': '3.1'}