{'ambient': '5184.tb', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '576.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.a1.b1', '16.b1.a1', '16.e1.a1', '16.e1.b1', '16.f1.a1', '16.g1.a1'], 'contains': ['64.a1.a1', '96.g1.a1', '96.g1.b1', '96.h1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7437, 6769, 8226, 3060, 1740, 6291, 1841, 3311], 'generators': [2592, 1728, 400, 192, 4032], 'id': 223364816, 'label': '5184.tb.32.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1', '16.a1.b1', '16.b1.a1', '16.e1.a1', '16.e1.b1', '16.f1.a1', '16.g1.a1'], 'normal_contains': ['64.a1.a1', '288.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '5184.tb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '576.5163'}