This graph is the unique rank-3 $\mathrm{SRG}(16,9,4,6)$. It is the complement of the Hamming graph $H(2,4)$. There are precisely two $\mathrm{SRG}(16,9,4,6)$s, namely the complement of the Shrikhande graph and this graph. The first subconstituent of this graph is the Paley graph $P_9$.
| Number of vertices: | $16$ |
| Diameter: | $2$ |
| Intersection array: | $\{9,4;1,6\}$ |
| Spectrum: | $9^1 1^9 (-3)^6$ |
| Automorphism group: | $\mathrm{S}_4\text{Wr}\mathbb{Z}_2$ |
| Distance-transitive: | Yes |
| Primitive |