{'ambient': '1024.ddn', 'aut_centralizer_order': None, 'aut_label': '64.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.GQ', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.BF', '32.CG', '32.FC', '32.FJ', '32.FM', '32.FU', '32.FY', '32.GK', '32.GQ', '32.GS', '32.GW', '32.HN', '32.HS', '32.HV', '32.IC', '32.IH', '32.IP', '32.IQ', '32.JC', '32.JF', '32.JG', '32.JJ', '32.JL', '32.JR', '32.JS', '32.KC', '32.KG', '32.KK', '32.KL', '32.KR', '32.KU'], 'contains': ['128.B', '128.O', '128.T'], 'core': '128.B', 'coset_action_label': None, 'count': 16, 'diagramx': [6771, -1, 6773, -1], 'generators': [40284840, 6227383806, 18126641468737, 1313941673647], 'id': 118454146, 'label': '1024.ddn.64.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BF', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '64.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BX', 'subgroup_fusion': None, 'weyl_group': None}
