Table gps_subgroup_data
Subgroup data for finite groups
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| Column |
Type |
Example |
| ambient |
text |
'256.50178' |
| aut_centralizer_order |
numeric |
512 |
| aut_label |
text |
'16.dy1' |
| aut_quo_index |
numeric |
|
| aut_stab_index |
numeric |
4 |
| aut_weyl_group |
text |
'16.14' |
| aut_weyl_index |
numeric |
2048 |
| centralizer |
text |
'32.a1.a1' |
| complements |
text[] |
|
| conjugacy_class_count |
numeric |
1 |
| contained_in |
text[] |
['8.p1.a1', '8.gl1.a1', '8.gl1.b1'] |
| contains |
text[] |
['32.bs1.a1', '32.bt1.a1', '32.bv1.a1', '32.cm1.a1', '32.cm1.b1'] |
| core |
text |
'64.c1.a1' |
| coset_action_label |
text |
|
| count |
numeric |
4 |
| diagramx |
smallint[] |
[5792, -1, 6075, -1, 5795, -1, 6078, -1] |
| generators |
numeric[] |
[17, 70, 168] |
| label |
text |
'256.50178.16.dy1.a1' |
| mobius_quo |
bigint |
|
| mobius_sub |
bigint |
0 |
| normal_closure |
text |
'8.p1.a1' |
| normal_contained_in |
text[] |
|
| normal_contains |
text[] |
|
| normalizer |
text |
'4.a1.a1' |
| old_label |
text |
'16.dy1.a1' |
| projective_image |
text |
'64.264' |
| quotient_action_image |
text |
|
| quotient_action_kernel |
text |
|
| quotient_action_kernel_order |
numeric |
|
| quotient_fusion |
jsonb |
|
| short_label |
text |
'16.dy1.a1' |
| subgroup_fusion |
integer[] |
|
| weyl_group |
text |
'8.5' |
{'ambient': '30576.b', 'aut_centralizer_order': None, 'aut_label': '84.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1092.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.c1.a1', '42.a1.a1'], 'contains': ['168.a1.a1', '588.c1.a1', '1092.f1.a1'], 'core': '2184.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [5350, -1, 6451, -1, 3561, -1, 7508, -1], 'generators': [716814548, 483724728, 801250460, 265474550], 'id': 65178985, 'label': '30576.b.84.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '84.c1.a1', 'projective_image': '2184.o', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.c1.a1', 'subgroup_fusion': None, 'weyl_group': '78.1'}
