Table gps_subgroup_data
Subgroup data for finite groups
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| Column |
Type |
Example |
| ambient |
text |
'6912.fy' |
| aut_centralizer_order |
numeric |
|
| aut_label |
text |
'864.hg1' |
| aut_quo_index |
numeric |
|
| aut_stab_index |
numeric |
|
| aut_weyl_group |
text |
|
| aut_weyl_index |
numeric |
|
| centralizer |
text |
'54.m1' |
| complements |
text[] |
|
| conjugacy_class_count |
numeric |
3 |
| contained_in |
text[] |
['288.ij1', '432.cv1', '432.cx1', '432.et1', '432.gp1', '432.jz1', '432.kx1', '432.ky1', '432.kz1', ... |
| contains |
text[] |
['1728.y1', '1728.ba1', '1728.bi3', '1728.bq2'] |
| core |
text |
'6912.a1' |
| coset_action_label |
text |
|
| count |
numeric |
81 |
| diagramx |
smallint[] |
[5086, -1, 5500, -1] |
| generators |
numeric[] |
[22593408600, 1013307342745, 33625549560] |
| label |
text |
'6912.fy.864.hg1' |
| mobius_quo |
bigint |
|
| mobius_sub |
bigint |
0 |
| normal_closure |
text |
'18.a1' |
| normal_contained_in |
text[] |
|
| normal_contains |
text[] |
|
| normalizer |
text |
'27.a1' |
| old_label |
text |
'864.hg1' |
| projective_image |
text |
'6912.fy' |
| quotient_action_image |
text |
|
| quotient_action_kernel |
text |
|
| quotient_action_kernel_order |
numeric |
|
| quotient_fusion |
jsonb |
|
| short_label |
text |
'864.hg1' |
| subgroup_fusion |
integer[] |
|
| weyl_group |
text |
'2.1' |
{'ambient': '122304.a', 'aut_centralizer_order': None, 'aut_label': '1176.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.c1.a1', '392.c1.a1', '588.b1.a1'], 'contains': ['2352.b1.a1', '15288.a1.a1'], 'core': '15288.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [5763, -1, 6671, -1, 5073, -1, 5510, -1], 'generators': [568784435, 545429530, 57921720, 24134050], 'id': 60039233, 'label': '122304.a.1176.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.d1.a1', 'old_label': '1176.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1176.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.2'}
