This graph is the unique rank-3 $\mathrm{SRG}(35,16,6,8)$. It is the complement of the Grassmann graph $J_2(4,2)$.
| Number of vertices: | $35$ |
| Diameter: | $2$ |
| Intersection array: | $\{16,9;1,8\}$ |
| Spectrum: | $16^1 2^{20} (-4)^{14}$ |
| Automorphism group: | $S_8$ |
| Distance-transitive: | Yes |
| Primitive |