{'ambient': '1440.3398', 'aut_centralizer_order': 288, 'aut_label': '24.a1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 576, 'centralizer': '4.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.b1', '12.c1.b1', '12.f1.b1', '12.i1.b1', '12.k1.b1', '12.l1.b1'], 'contains': ['48.a1.b1', '72.a1.a1', '120.a1.b1'], 'core': '24.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5164, 8310, 7116, 1759, 5617, 7571, 3746, 3525], 'generators': [1080, 288, 720, 960], 'id': 75382090, 'label': '1440.3398.24.a1.b1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.a1.b1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.b1', '12.c1.b1'], 'normal_contains': ['48.a1.b1', '72.a1.a1', '120.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.b1', 'projective_image': '144.145', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.a1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}