Table gps_small
Small groups from GAP/Magma
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| Column |
Type |
Example |
| abelian |
boolean |
False |
| abelian_quotient |
text |
'16.14' |
| center |
text |
'8.5' |
| clases |
jsonb |
[[1, 1, 1], [2, 1, 7], [4, 2, 8], [4, 4, 10], [4, 8, 8], [4, 16, 4], [8, 8, 8]] |
| cyclic |
boolean |
False |
| derived_group |
text |
'16.10' |
| exponent |
integer |
8 |
| label |
text |
'256.23079' |
| maximal_subgroups |
jsonb |
[['128.571', 1], ['128.650', 4], ['128.789', 2], ['128.815', 2], ['128.831', 4], ['128.1039', 1], ['... |
| name |
text |
'C4.(C4*Q8):C2' |
| normal_subgroups |
jsonb |
[['2.1', 7], ['4.1', 4], ['4.2', 7], ['8.2', 16], ['8.5', 1], ['16.2', 4], ['16.4', 4], ['16.10', 7]... |
| order |
integer |
256 |
| perfect |
boolean |
False |
| pretty |
text |
'C_4.(C_4\\times Q_8):C_2' |
| simple |
boolean |
False |
| solvable |
boolean |
True |
{'abelian': False, 'abelian_quotient': '8.2', 'center': '4.2', 'clases': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [4, 2, 4]], 'cyclic': False, 'derived_group': '2.1', 'exponent': 4, 'id': 36, 'label': '16.3', 'maximal_subgroups': [['8.2', 2], ['8.5', 1]], 'name': 'C2^2:C4', 'normal_subgroups': [['2.1', 3], ['4.2', 3], ['8.2', 2], ['8.5', 1]], 'order': 16, 'perfect': False, 'pretty': 'C_2^2:C_4', 'simple': False, 'solvable': True}