Table gps_subgroup_data
Subgroup data for finite groups
{'ambient': '122304.a', 'aut_centralizer_order': None, 'aut_label': '15288.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1176.c1.a1', '2184.a1.a1', '2184.q1.a1', '2184.u1.a1', '2184.u1.b1', '2184.u1.c1', '5096.i1.a1', '7644.a1.a1', '7644.g1.a1'], 'contains': ['30576.a1.a1'], 'core': '15288.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7957, 3293, 8744, 7775, 7218, 1126, 8102, 1126], 'generators': [545429530, 57921720, 24134050], 'id': 60039439, 'label': '122304.a.15288.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1092, 'normal_closure': '15288.a1.a1', 'normal_contained_in': ['14.c1.a1', '2184.a1.a1'], 'normal_contains': ['30576.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '15288.a1.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 15288, 'quotient_fusion': None, 'short_label': '15288.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}