Table gps_subgroup_data
Subgroup data for finite groups
{'ambient': '30576.b', 'aut_centralizer_order': None, 'aut_label': '15288.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '182.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1176.b1.a1', '1176.b1.a2', '2184.d1.a1', '2184.e1.a1', '2184.e1.a2', '5096.b1.a1', '5096.c1.a1', '5096.c1.a2', '7644.b1.a1'], 'contains': ['30576.a1.a1'], 'core': '30576.a1.a1', 'coset_action_label': None, 'count': 182, 'diagramx': [2253, -1, 5824, -1, 4726, -1, 5385, -1], 'generators': [20176919], 'id': 65178980, 'label': '30576.b.15288.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '7.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '182.a1.a1', 'old_label': '15288.b1.a1', 'projective_image': '30576.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15288.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}