Click on the numbers to see the structures.
| Size of Lattice | Number of Lattices | ||||
| OL | WOML | OML | MOL | BA | |
| 2 | 1 | 1 | 1 | 1 | 1 |
| 4 | 1 | 1 | 1 | 1 | 1 |
| 6 | 2 | 2 | 1 | 1 | 0 |
| 8 | 5 | 4 | 2 | 2 | 1 |
| 10 | 15 | 8 | 2 | 1 | 0 |
| 12 | 60 | 18 | 3 | 2 | 0 |
| 14 | 311 | 47 | 4 | 1 | 0 |
| 16 | ? | 135 | 7 | 3 | 1 |
| 18 | ? | ? | 8 | 1 | 0 |
| 20 | ? | ? | 14 | 2 | 0 |
These lattices were found with Mace4 and Isofilter. Mace4 generates all models of the specified size, but it usually produces many isomorphic models. Isofilter takes a stream of models and removes the isomorphic ones.
Here are the Mace4 input files and the corresponding scripts to generate the lattices in the table above.
| Input File | Script |
| OL.in | go.OL |
| OML.in | go.OML |
| MOL.in | go.MOL |
| BA.in | go.BA |