Table gps_subgroup_data
Subgroup data for finite groups
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| Column |
Type |
Example |
| ambient |
text |
'1600.2701' |
| aut_centralizer_order |
numeric |
128 |
| aut_label |
text |
'80.g1' |
| aut_quo_index |
numeric |
|
| aut_stab_index |
numeric |
20 |
| aut_weyl_group |
text |
'20.3' |
| aut_weyl_index |
numeric |
2560 |
| centralizer |
text |
'100.a1.a1' |
| complements |
text[] |
|
| conjugacy_class_count |
numeric |
1 |
| contained_in |
text[] |
['16.c1.a1', '40.e1.a1', '40.h1.a1'] |
| contains |
text[] |
['160.b1.a1', '400.e1.a1'] |
| core |
text |
'160.b1.a1' |
| coset_action_label |
text |
|
| count |
numeric |
5 |
| diagramx |
smallint[] |
[9540, -1, 3114, -1, 873, -1, 3578, -1] |
| generators |
numeric[] |
[402, 8, 820] |
| label |
text |
'1600.2701.80.g1.a1' |
| mobius_quo |
bigint |
|
| mobius_sub |
bigint |
0 |
| normal_closure |
text |
'16.c1.a1' |
| normal_contained_in |
text[] |
|
| normal_contains |
text[] |
|
| normalizer |
text |
'5.a1.a1' |
| old_label |
text |
'80.g1.a1' |
| projective_image |
text |
'800.544' |
| quotient_action_image |
text |
|
| quotient_action_kernel |
text |
|
| quotient_action_kernel_order |
numeric |
|
| quotient_fusion |
jsonb |
|
| short_label |
text |
'80.g1.a1' |
| subgroup_fusion |
integer[] |
|
| weyl_group |
text |
'20.3' |
{'ambient': '20480.rp', 'aut_centralizer_order': None, 'aut_label': '10.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '320.B', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': None, 'contains': None, 'core': '160.A', 'coset_action_label': None, 'count': 15, 'diagramx': [1105, -1, 1557, -1], 'generators': [1925, 10240, 12700, 2280, 3920], 'id': 165030797, 'label': '20480.rp.10.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.d1', 'projective_image': '5120.dx', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.D', 'subgroup_fusion': None, 'weyl_group': '64.267'}