{'ambient': '1760.303', 'aut_centralizer_order': 8, 'aut_label': '20.f1', 'aut_quo_index': 4, 'aut_stab_index': 4, 'aut_weyl_group': '440.42', 'aut_weyl_index': 32, 'centralizer': '220.a1.a1', 'complements': ['88.f1.a1', '88.f1.b1', '88.h1.b1', '88.h1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.d1', '10.a1.a1'], 'contains': ['40.b1.b1', '40.c1.b1', '40.d1.a1', '220.f1.d1'], 'core': '20.f1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [308, 1700, 9408, 2486, 184, 3068, 354, 3100], 'generators': [445, 880, 40, 660], 'id': 106380404, 'label': '1760.303.20.f1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.f1.d1', 'normal_contained_in': ['4.f1.d1', '10.a1.a1'], 'normal_contains': ['40.b1.b1', '40.c1.b1', '40.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.f1.d1', 'projective_image': '880.115', 'quotient_action_image': '10.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '20.f1.d1', 'subgroup_fusion': None, 'weyl_group': '220.7'}