Table gps_subgroup_data
Subgroup data for finite groups
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| Column |
Type |
Example |
| ambient |
text |
'1728.23569' |
| aut_centralizer_order |
numeric |
1536 |
| aut_label |
text |
'432.m1' |
| aut_quo_index |
numeric |
|
| aut_stab_index |
numeric |
6 |
| aut_weyl_group |
text |
'2.1' |
| aut_weyl_index |
numeric |
9216 |
| centralizer |
text |
'6.k1.a1' |
| complements |
text[] |
|
| conjugacy_class_count |
numeric |
1 |
| contained_in |
text[] |
['144.cc1.a1', '144.ce1.a1', '144.cg1.a1', '144.cj1.a1', '144.cj1.b1', '216.e1.a1', '216.p1.a1', '21... |
| contains |
text[] |
['864.c1.a1'] |
| core |
text |
'864.c1.a1' |
| coset_action_label |
text |
|
| count |
numeric |
6 |
| diagramx |
smallint[] |
[1081, -1, 1011, -1, 9496, -1, 8578, -1] |
| generators |
numeric[] |
[78] |
| label |
text |
'1728.23569.432.m1.a1' |
| mobius_quo |
bigint |
|
| mobius_sub |
bigint |
0 |
| normal_closure |
text |
'72.c1.a1' |
| normal_contained_in |
text[] |
|
| normal_contains |
text[] |
|
| normalizer |
text |
'6.k1.a1' |
| old_label |
text |
'432.m1.a1' |
| projective_image |
text |
'864.3224' |
| quotient_action_image |
text |
|
| quotient_action_kernel |
text |
|
| quotient_action_kernel_order |
numeric |
|
| quotient_fusion |
jsonb |
|
| short_label |
text |
'432.m1.a1' |
| subgroup_fusion |
integer[] |
|
| weyl_group |
text |
'1.1' |
{'ambient': '976500.a', 'aut_centralizer_order': None, 'aut_label': '31500.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '15750.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.a1.a1', '15750.a1.a1', '15750.b1.a1', '15750.b1.a2'], 'contains': ['976500.a1.a1'], 'core': '976500.a1.a1', 'coset_action_label': None, 'count': 7875, 'diagramx': [7546, -1, 2429, -1, 5806, -1, 3811, -1], 'generators': [202296994], 'id': 275328691, 'label': '976500.a.31500.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7875.a1.a1', 'old_label': '31500.a1.a1', 'projective_image': '976500.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31500.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
