Table gps_small
Small groups from GAP/Magma
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| Column |
Type |
Example |
| abelian |
boolean |
False |
| abelian_quotient |
text |
'32.51' |
| center |
text |
'8.5' |
| clases |
jsonb |
[[1, 1, 1], [2, 1, 7], [2, 4, 10], [2, 8, 3], [4, 2, 12], [4, 4, 22], [4, 8, 9]] |
| cyclic |
boolean |
False |
| derived_group |
text |
'8.5' |
| exponent |
integer |
4 |
| label |
text |
'256.28992' |
| maximal_subgroups |
jsonb |
[['128.1079', 1], ['128.1095', 2], ['128.1098', 2], ['128.1124', 2], ['128.1127', 1], ['128.1140', 1... |
| name |
text |
'C2^3.C2^5' |
| normal_subgroups |
jsonb |
[['2.1', 7], ['4.1', 4], ['4.2', 7], ['8.2', 22], ['8.5', 11], ['16.2', 8], ['16.3', 8], ['16.4', 8]... |
| order |
integer |
256 |
| perfect |
boolean |
False |
| pretty |
text |
'C_2^3.C_2^5' |
| simple |
boolean |
False |
| solvable |
boolean |
True |
{'abelian': True, 'abelian_quotient': '31.1', 'center': '31.1', 'clases': [[1, 1, 1], [31, 1, 30]], 'cyclic': True, 'derived_group': '1.1', 'exponent': 31, 'id': 93, 'label': '31.1', 'maximal_subgroups': [['1.1', 1]], 'name': 'C31', 'normal_subgroups': [], 'order': 31, 'perfect': False, 'pretty': 'C_{31}', 'simple': True, 'solvable': True}