{'ambient': '704.421', 'aut_centralizer_order': 352, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '40.14', 'aut_weyl_index': 704, 'centralizer': '8.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.i1.a1', '4.j1.a1'], 'contains': ['16.a1.a1', '16.e1.a1', '88.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1149, -1, 1384, -1, 1159, -1, 1348, -1], 'generators': [2, 64, 4, 352], 'id': 110666313, 'label': '704.421.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.h1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}