This graph is the complement of the Johnson graph $\mathrm{J}(15,2)$.
| Number of vertices: | $105$ |
| Diameter: | $2$ |
| Intersection array: | $\{78,22;1,66\}$ |
| Spectrum: | $78^1 1^{90} (-12)^{14}$ |
| Automorphism group: | $\mathrm{S}_{15}$ |
| Distance-transitive: | Yes |
| Primitive |