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], [2, 4, 4], [2, 8, 2], [2, 16, 1], [4, 2, 8], [4, 4, 6], [4, 8, 10], [4, 16, 1... |
| cyclic |
boolean |
False |
| derived_group |
text |
'16.10' |
| exponent |
integer |
8 |
| label |
text |
'256.19150' |
| maximal_subgroups |
jsonb |
[['128.596', 2], ['128.611', 3], ['128.648', 1], ['128.666', 1], ['128.773', 1], ['128.805', 1], ['1... |
| name |
text |
'C2^3.C2^4.C2' |
| normal_subgroups |
jsonb |
[['2.1', 7], ['4.1', 4], ['4.2', 7], ['8.2', 10], ['8.3', 4], ['8.5', 1], ['16.4', 2], ['16.5', 2], ... |
| order |
integer |
256 |
| perfect |
boolean |
False |
| pretty |
text |
'C_2^3.C_2^4.C_2' |
| simple |
boolean |
False |
| solvable |
boolean |
True |
{'abelian': False, 'abelian_quotient': '4.2', 'center': '2.1', 'clases': [[1, 1, 1], [2, 1, 1], [4, 2, 1], [4, 4, 2], [8, 2, 2]], 'cyclic': False, 'derived_group': '4.1', 'exponent': 8, 'id': 42, 'label': '16.9', 'maximal_subgroups': [['8.1', 1], ['8.4', 2]], 'name': 'Q16', 'normal_subgroups': [['2.1', 1], ['4.1', 1], ['8.1', 1], ['8.4', 2]], 'order': 16, 'perfect': False, 'pretty': 'Q_{16}', 'simple': False, 'solvable': True}
