{'ambient': '1728.32842', 'aut_centralizer_order': 48, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 576, 'centralizer': '24.bb1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.b1', '24.f1.b1', '24.z1.b1', '24.ba1.b1', '24.bb1.b1', '24.bc1.a1', '24.bk1.b1', '24.bl1.b1'], 'contains': ['96.c1.a1', '96.m1.b1', '144.f1.b1', '144.g1.b1', '144.h1.b1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2677, -1, 543, -1, 816, -1, 8792, -1], 'generators': [451, 864, 8, 576], 'id': 91710038, 'label': '1728.32842.48.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '48.g1.b1', 'projective_image': '288.889', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}