Table gps_subgroup_data
Subgroup data for finite groups
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| Column |
Type |
Example |
| ambient |
text |
'256.50077' |
| aut_centralizer_order |
numeric |
32768 |
| aut_label |
text |
'128.d1' |
| aut_quo_index |
numeric |
4 |
| aut_stab_index |
numeric |
1 |
| aut_weyl_group |
text |
'1.1' |
| aut_weyl_index |
numeric |
32768 |
| centralizer |
text |
'1.a1.a1' |
| complements |
text[] |
[] |
| conjugacy_class_count |
numeric |
1 |
| contained_in |
text[] |
['64.b1.a1', '64.e1.a1', '64.g1.a1', '64.bc1.a1', '64.bd1.a1', '64.be1.a1', '64.bf1.a1', '64.bg1.a1'... |
| contains |
text[] |
['256.a1.a1'] |
| core |
text |
'128.d1.a1' |
| coset_action_label |
text |
|
| count |
numeric |
1 |
| diagramx |
smallint[] |
[5736, 6517, 4032, 5169, 5739, 6474, 4105, 5172] |
| generators |
numeric[] |
[128] |
| label |
text |
'256.50077.128.d1.a1' |
| mobius_quo |
bigint |
-1 |
| mobius_sub |
bigint |
0 |
| normal_closure |
text |
'128.d1.a1' |
| normal_contained_in |
text[] |
['64.e1.a1', '64.b1.a1', '64.g1.a1'] |
| normal_contains |
text[] |
['256.a1.a1'] |
| normalizer |
text |
'1.a1.a1' |
| old_label |
text |
'128.d1.a1' |
| projective_image |
text |
'128.2286' |
| quotient_action_image |
text |
'1.1' |
| quotient_action_kernel |
text |
'128.2286' |
| quotient_action_kernel_order |
numeric |
128 |
| quotient_fusion |
jsonb |
|
| short_label |
text |
'128.d1.a1' |
| subgroup_fusion |
integer[] |
|
| weyl_group |
text |
'1.1' |
{'ambient': '113460.a', 'aut_centralizer_order': None, 'aut_label': '11346.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3782.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['186.a1.a1', '3782.a1.a1', '5673.a1.a1'], 'contains': ['22692.a1.a1', '56730.a1.a1'], 'core': '113460.a1.a1', 'coset_action_label': None, 'count': 1891, 'diagramx': [3033, -1, 7787, -1, 5088, -1, 5404, -1], 'generators': [11229789, 11314597], 'id': 262432494, 'label': '113460.a.11346.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1891.b1.a1', 'old_label': '11346.a1.a1', 'projective_image': '113460.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11346.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}