{'ambient': '1728.32842', 'aut_centralizer_order': 12, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 24, 'centralizer': '48.s1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.f1.a1'], 'contains': ['24.g1.a1', '24.g1.b1', '24.s1.a1', '24.bh1.a1', '24.bh1.b1', '24.bn1.a1', '24.cb1.a1', '36.c1.a1', '36.h1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1096, -1, 3016, -1, 3477, -1, 7485, -1], 'generators': [7, 576, 864, 432, 936, 8], 'id': 91710447, 'label': '1728.32842.12.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '12.j1.a1', 'projective_image': '288.889', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}