size | number of Latin squares 1 | 1 2 | 2 3 | 12 4 | 576 5 | 161280

1 | 2 | 3 | 4 | 5 | 6 | 7 5 | 3 | 7 | 2 | 6 | 4 | 1 2 | 6 | 5 | 1 | 3 | 7 | 4 4 | 7 | 6 | 3 | 1 | 5 | 2 3 | 5 | 4 | 7 | 2 | 1 | 6 7 | 1 | 2 | 6 | 4 | 3 | 5 6 | 4 | 1 | 5 | 7 | 2 | 3