{'ambient': '3456.cp', 'aut_centralizer_order': 12, 'aut_label': '16.cr1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '288.1040', 'aut_weyl_index': 96, 'centralizer': '288.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.z1', '8.dg1'], 'contains': ['32.q1', '32.u2', '32.w1', '48.iz1', '48.jf1', '48.jg1'], 'core': '128.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 1152, 400, 456, 192, 1728], 'id': 201625256, 'label': '3456.cp.16.cr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.bc1', 'old_label': '16.cr1', 'projective_image': '3456.cp', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cr1', 'subgroup_fusion': None, 'weyl_group': '72.46'}