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, 2], [2, 16, 2], [4, 2, 4], [4, 4, 10], [4, 16, 6], [8, 8, 8]] |
| cyclic |
boolean |
False |
| derived_group |
text |
'16.10' |
| exponent |
integer |
8 |
| label |
text |
'256.23236' |
| maximal_subgroups |
jsonb |
[['128.460', 1], ['128.745', 2], ['128.746', 2], ['128.825', 2], ['128.827', 2], ['128.1588', 1], ['... |
| name |
text |
'(C2^3*C4).C2^3' |
| normal_subgroups |
jsonb |
[['2.1', 7], ['4.1', 4], ['4.2', 7], ['8.2', 16], ['8.5', 3], ['16.5', 8], ['16.10', 10], ['16.14', ... |
| order |
integer |
256 |
| perfect |
boolean |
False |
| pretty |
text |
'(C_2^3\\times C_4).C_2^3' |
| simple |
boolean |
False |
| solvable |
boolean |
True |
{'abelian': True, 'abelian_quotient': '12.5', 'center': '12.5', 'clases': [[1, 1, 1], [2, 1, 3], [3, 1, 2], [6, 1, 6]], 'cyclic': False, 'derived_group': '1.1', 'exponent': 6, 'id': 24, 'label': '12.5', 'maximal_subgroups': [['4.2', 1], ['6.2', 3]], 'name': 'C2*C6', 'normal_subgroups': [['2.1', 3], ['3.1', 1], ['4.2', 1], ['6.2', 3]], 'order': 12, 'perfect': False, 'pretty': 'C_2\\times C_6', 'simple': False, 'solvable': True}
