Table gps_subgroup_data
Subgroup data for finite groups
Show schema
Hide schema
| Column |
Type |
Example |
| ambient |
text |
'2048.cik' |
| aut_centralizer_order |
numeric |
|
| aut_label |
text |
'32.bk1' |
| aut_quo_index |
numeric |
|
| aut_stab_index |
numeric |
|
| aut_weyl_group |
text |
|
| aut_weyl_index |
numeric |
|
| centralizer |
text |
'4.a1' |
| complements |
text[] |
[] |
| conjugacy_class_count |
numeric |
1 |
| contained_in |
text[] |
['16.b1', '16.ba1', '16.dl1', '16.dm1', '16.dn1'] |
| contains |
text[] |
['64.z1', '64.bb1', '64.bd1', '64.cl1', '64.cn1', '64.db1', '64.dc1'] |
| core |
text |
'32.bk1' |
| coset_action_label |
text |
|
| count |
numeric |
1 |
| diagramx |
smallint[] |
[8114, 8495, 8101, 8513] |
| generators |
numeric[] |
[377115, 425997, 819465] |
| label |
text |
'2048.cik.32.bk1' |
| mobius_quo |
bigint |
|
| mobius_sub |
bigint |
|
| normal_closure |
text |
'32.bk1' |
| normal_contained_in |
text[] |
['16.b1', '16.ba1'] |
| normal_contains |
text[] |
['64.z1', '64.bb1', '64.bd1', '64.cl1', '64.cn1', '64.db1', '64.dc1'] |
| normalizer |
text |
'1.a1' |
| old_label |
text |
'32.bk1' |
| projective_image |
text |
|
| quotient_action_image |
text |
|
| quotient_action_kernel |
text |
|
| quotient_action_kernel_order |
numeric |
|
| quotient_fusion |
jsonb |
|
| short_label |
text |
'32.bk1' |
| subgroup_fusion |
integer[] |
|
| weyl_group |
text |
|
{'ambient': '113568.h', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28, 26292, 12], 'id': 13183814, 'label': '113568.h.416._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '416.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '416._.D', 'subgroup_fusion': None, 'weyl_group': None}