Table gps_small
Small groups from GAP/Magma
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| Column |
Type |
Example |
| abelian |
boolean |
False |
| abelian_quotient |
text |
'18.5' |
| center |
text |
'6.2' |
| clases |
jsonb |
[[1, 1, 1], [2, 1, 1], [3, 1, 2], [3, 21, 2], [6, 1, 2], [6, 21, 2], [7, 3, 2], [9, 3, 2], [9, 21, 4... |
| cyclic |
boolean |
False |
| derived_group |
text |
'21.2' |
| exponent |
integer |
126 |
| label |
text |
'378.25' |
| maximal_subgroups |
jsonb |
[['54.11', 1], ['126.2', 2], ['126.6', 1], ['126.10', 1], ['189.5', 1]] |
| name |
text |
'C2*C9:(C7:C3)' |
| normal_subgroups |
jsonb |
[['2.1', 1], ['3.1', 1], ['6.2', 1], ['7.1', 1], ['9.1', 1], ['14.2', 1], ['18.2', 1], ['21.2', 1], ... |
| order |
integer |
378 |
| perfect |
boolean |
False |
| pretty |
text |
'C_2\\times C_9:(C_7:C_3)' |
| simple |
boolean |
False |
| solvable |
boolean |
True |
{'abelian': False, 'abelian_quotient': '8.2', 'center': '4.1', 'clases': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 1], [8, 2, 4]], 'cyclic': False, 'derived_group': '2.1', 'exponent': 8, 'id': 39, 'label': '16.6', 'maximal_subgroups': [['8.1', 2], ['8.2', 1]], 'name': 'OD16', 'normal_subgroups': [['2.1', 1], ['4.1', 2], ['4.2', 1], ['8.1', 2], ['8.2', 1]], 'order': 16, 'perfect': False, 'pretty': 'OD_{16}', 'simple': False, 'solvable': True}
