The complement of this graph is the Kneser graph $\mathrm{K}(13,2)$.
| Number of vertices: | $78$ |
| Diameter: | $2$ |
| Intersection array: | $\{22,10;1,4\}$ |
| Spectrum: | $22^1 9^{12} (-2)^{65}$ |
| Automorphism group: | $\mathrm{S}_{13}$ |
| Distance-transitive: | Yes |
| Primitive |