As part of my enumeration of the Bol loops of order 16,
here I list just the 19 loops which are non-associative with centrum of size 6.
Please see the parent page for notation, including
my conventions for naming of loops and table entries.
I would appreciate an email
message () from you if you have any comments regarding this list.
All 19 loops in this list have |Z(L)|=2 and so the graph Comm(L) is defined. This graph is displayed as black-on-white (since it has at most 10 edges), and isolated vertices are not displayed.
No. | Comm(L) | |I(L)|=3 | |I(L)|=5 | |I(L)|=7 | |I(L)|=9 | |I(L)|=11 | |I(L)|=13 | |I(L)|=15 |
---|---|---|---|---|---|---|---|---|
4 | ![]() | 0, 1, 5 | 0 | |||||
114 | ![]() | 0, 1 | 0, 1, 2 | 0 | ||||
212 | ![]() | 0, 1 | 2, 3, 4 | 0, 1, 2, 3 |