{'ambient': '1728.32842', 'aut_centralizer_order': 16, 'aut_label': '72.bn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.14', 'aut_weyl_index': 192, 'centralizer': '144.f1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bl1.b1', '24.bm1.a1', '36.g1.b1', '36.bc1.b1', '36.bd1.a1'], 'contains': ['144.g1.b1', '144.i1.a1', '144.o1.a1', '144.bt1.b1', '216.k1.a1'], 'core': '864.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3738, -1, 2486, -1, 497, -1, 8336, -1], 'generators': [7, 444, 864, 576], 'id': 91710171, 'label': '1728.32842.72.bn1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '72.bn1.b1', 'projective_image': '864.4263', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.bn1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}