{'ambient': '4400.m', 'aut_centralizer_order': 8, 'aut_label': '10.d1', 'aut_quo_index': 1, 'aut_stab_index': 15, 'aut_weyl_group': '880.118', 'aut_weyl_index': 120, 'centralizer': '440.a1', 'complements': ['440.c1', '440.d1'], 'conjugacy_class_count': 15, 'contained_in': ['2.b1', '5.b1'], 'contains': ['20.d1', '20.f1', '50.b1', '110.e1'], 'core': '10.d1', 'coset_action_label': None, 'count': 15, 'diagramx': [6981, 5417, 6301, 6084], 'generators': [3375, 4, 2200, 1100, 400], 'id': 66664643, 'label': '4400.m.10.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.d1', 'normal_contained_in': ['2.b1', '5.b1'], 'normal_contains': ['20.d1', '20.f1', '50.b1'], 'normalizer': '1.a1', 'old_label': '10.d1', 'projective_image': '2200.a', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.d1', 'subgroup_fusion': None, 'weyl_group': '440.42'}