The complement of this graph is the Kneser graph $\mathrm{K}(27,2)$.
| Number of vertices: | $351$ |
| Diameter: | $2$ |
| Intersection array: | $\{50,24;1,4\}$ |
| Spectrum: | $50^1 23^{26} (-2)^{324}$ |
| Automorphism group: | $\mathrm{S}_{27}$ |
| Distance-transitive: | Yes |
| Primitive |