Bol Loops of Order 16 with Centrum of Size 6


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    


/ revised November, 2001