The numbers of lines (points) of the various types are given in the first row (column) of the table following. The notation follows that given for the 3-dimensional geometry: some of the types are further sub-divided here, so that only the first suffices are significant.
| No | 1 | 36 | 288 | 1296 | 4374 | 648 | |
|---|---|---|---|---|---|---|---|
| No | Name | s | t1 | t2 | x1 | x2 | x3 |
| 4 | C0 | 4,1 | 1,9 | 1,72 | 0,0 | 0,0 | 0,0 |
| 24 | C111 | 24,1 | 0,0 | 0,0 | 1,54 | 0,0 | 1,27 |
| 54 | C112 | 54,1 | 0,0 | 0,0 | 0,0 | 1,81 | 0,0 |
| 81 | C12 | 0,0 | 9,4 | 0,0 | 0,0 | 1,54 | 3,24 |
| 2592 | C21 | 0,0 | 72,1 | 27,3 | 36,18 | 32,54 | 24,6 |
| 3888 | C22 | 0,0 | 0,0 | 54,4 | 45,15 | 48,54 | 54,9 |
The complete design above is a BIBD with λ=1.
As the symmetry between points and lines is lost in the detailed breakdown, different subdesigns are available according to whether points or lines are taken as treatments.