{'ambient': '256.29702', 'aut_centralizer_order': 512, 'aut_label': '8.s1', 'aut_quo_index': 168, 'aut_stab_index': 8, 'aut_weyl_group': '64.267', 'aut_weyl_index': 4096, 'centralizer': '16.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['4.h1', '4.q1', '4.r1', '4.bg1', '4.bg2', '4.bh1', '4.bh2'], 'contains': ['16.c1', '16.g1', '16.i1', '16.bp1'], 'core': '8.s1', 'coset_action_label': None, 'count': 8, 'diagramx': [3679, 1172, 3669, 1172], 'generators': [1, 64, 160], 'id': 30063585, 'label': '256.29702.8.s1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.s1', 'normal_contained_in': ['4.h1', '4.q1', '4.r1', '4.bg1', '4.bg2', '4.bh1', '4.bh2'], 'normal_contains': ['16.c1', '16.g1', '16.i1'], 'normalizer': '1.a1', 'old_label': '8.s1', 'projective_image': '32.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.s1', 'subgroup_fusion': None, 'weyl_group': '16.14'}