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 |
'16.14' |
| clases |
jsonb |
[[1, 1, 1], [2, 1, 15], [2, 8, 2], [4, 4, 36], [4, 8, 10]] |
| cyclic |
boolean |
False |
| derived_group |
text |
'8.5' |
| exponent |
integer |
4 |
| label |
text |
'256.45132' |
| maximal_subgroups |
jsonb |
[['128.1016', 1], ['128.1020', 3], ['128.1021', 2], ['128.1023', 1], ['128.1121', 1], ['128.1122', 1... |
| name |
text |
'C2*C2^3.C2^4' |
| normal_subgroups |
jsonb |
[['2.1', 15], ['4.2', 35], ['8.2', 20], ['8.5', 15], ['16.4', 16], ['16.10', 48], ['16.14', 3], ['32... |
| order |
integer |
256 |
| perfect |
boolean |
False |
| pretty |
text |
'C_2\\times C_2^3.C_2^4' |
| simple |
boolean |
False |
| solvable |
boolean |
True |
{'abelian': True, 'abelian_quotient': '24.2', 'center': '24.2', 'clases': [[1, 1, 1], [2, 1, 1], [3, 1, 2], [4, 1, 2], [6, 1, 2], [8, 1, 4], [12, 1, 4], [24, 1, 8]], 'cyclic': True, 'derived_group': '1.1', 'exponent': 24, 'id': 67, 'label': '24.2', 'maximal_subgroups': [['8.1', 1], ['12.2', 1]], 'name': 'C24', 'normal_subgroups': [['2.1', 1], ['3.1', 1], ['4.1', 1], ['6.2', 1], ['8.1', 1], ['12.2', 1]], 'order': 24, 'perfect': False, 'pretty': 'C_{24}', 'simple': False, 'solvable': True}
