{'ambient': '9000.w', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '360.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '36.b1.a1', '60.e1.a1', '60.f1.a1', '60.g1.a1', '60.h1.a1', '60.i1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4301, -1, 3672, -1, 5991, -1, 4646, -1], 'generators': [111253006773504, 52843663923985, 4, 4652849723575704, 16490193360624], 'id': 68999733, 'label': '9000.w.12.b1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '12.b1.a1', 'projective_image': '9000.w', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '60.8'}