Table gps_subgroup_data
Subgroup data for finite groups
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| Column |
Type |
Example |
| ambient |
text |
'1728.40851' |
| aut_centralizer_order |
numeric |
|
| aut_label |
text |
'24.dk1' |
| aut_quo_index |
numeric |
|
| aut_stab_index |
numeric |
|
| aut_weyl_group |
text |
|
| aut_weyl_index |
numeric |
|
| centralizer |
text |
'72.x1.a1' |
| complements |
text[] |
|
| conjugacy_class_count |
numeric |
1 |
| contained_in |
text[] |
['8.h1.b1', '12.bs1.a1', '12.ck1.b1', '12.ck1.d1', '12.co1.b1', '12.co1.c1', '12.cw1.c1', '12.cw1.d1... |
| contains |
text[] |
['48.g1.a1', '48.bx1.b1', '72.dg1.b1', '72.di1.b1'] |
| core |
text |
'48.g1.a1' |
| coset_action_label |
text |
|
| count |
numeric |
3 |
| diagramx |
smallint[] |
|
| generators |
numeric[] |
[307, 576, 72, 4, 144] |
| label |
text |
'1728.40851.24.dk1.b1' |
| mobius_quo |
bigint |
|
| mobius_sub |
bigint |
|
| normal_closure |
text |
'8.h1.b1' |
| normal_contained_in |
text[] |
|
| normal_contains |
text[] |
|
| normalizer |
text |
'3.b1.a1' |
| old_label |
text |
'24.dk1.b1' |
| projective_image |
text |
|
| quotient_action_image |
text |
|
| quotient_action_kernel |
text |
|
| quotient_action_kernel_order |
numeric |
|
| quotient_fusion |
jsonb |
|
| short_label |
text |
'24.dk1.b1' |
| subgroup_fusion |
integer[] |
|
| weyl_group |
text |
|
{'ambient': '20480.rp', 'aut_centralizer_order': None, 'aut_label': '40.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '320.B', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': None, 'contains': None, 'core': '320.B', 'coset_action_label': None, 'count': 30, 'diagramx': None, 'generators': [13345, 4300, 2280, 2720], 'id': 165030777, 'label': '20480.rp.40.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.rV', 'projective_image': '5120.dx', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CH', 'subgroup_fusion': None, 'weyl_group': '64.267'}