This graph is the unique $\mathrm{SRG}(162,56,10,24)$. It is the second subconstituent of the McLaughlin graph. It is also a subgraph of the Suzuki graph. This graph has an antipodal 3-cover that was constructed by Soicher. The second subconsituent of this graph is the Goethals–Seidel graph. The complement of this graph is the unique $\mathrm{SRG}(162,105,72,60)$.
| Number of vertices: | $162$ |
| Diameter: | $2$ |
| Intersection array: | $\{56,45;1,24\}$ |
| Spectrum: | $56^1 2^{140} (-16)^{21}$ |
| Automorphism group: | $\mathrm{PSU}(4,3):2^2$ |
| Distance-transitive: | Yes |
| Primitive |