Table gps_small
Small groups from GAP/Magma
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| Column |
Type |
Example |
| abelian |
boolean |
False |
| abelian_quotient |
text |
'192.151' |
| center |
text |
'96.176' |
| clases |
jsonb |
[[1, 1, 1], [2, 1, 7], [3, 1, 2], [4, 1, 8], [4, 2, 8], [6, 1, 14], [8, 1, 16], [8, 2, 8], [12, 1, 1... |
| cyclic |
boolean |
False |
| derived_group |
text |
'2.1' |
| exponent |
integer |
48 |
| label |
text |
'384.510' |
| maximal_subgroups |
jsonb |
[['128.106', 1], ['192.835', 1], ['192.935', 2]] |
| name |
text |
'C3*(C2*C8).D4' |
| normal_subgroups |
jsonb |
[['2.1', 7], ['3.1', 1], ['4.1', 4], ['4.2', 7], ['6.2', 7], ['8.1', 4], ['8.2', 10], ['8.5', 1], ['... |
| order |
integer |
384 |
| perfect |
boolean |
False |
| pretty |
text |
'C_3\\times (C_2\\times C_8).D_4' |
| simple |
boolean |
False |
| solvable |
boolean |
True |
{'abelian': True, 'abelian_quotient': '29.1', 'center': '29.1', 'clases': [[1, 1, 1], [29, 1, 28]], 'cyclic': True, 'derived_group': '1.1', 'exponent': 29, 'id': 88, 'label': '29.1', 'maximal_subgroups': [['1.1', 1]], 'name': 'C29', 'normal_subgroups': [], 'order': 29, 'perfect': False, 'pretty': 'C_{29}', 'simple': True, 'solvable': True}