The distance 1-or-4 graph of this graph is the merged Johnson graph $J(11,4)$.
| Number of vertices: | $330$ |
| Diameter: | $4$ |
| Intersection array: | $\{28,18,10,4;1,4,9,16\}$ |
| Spectrum: | $28^1 17^{10} 8^{44} 1^{110} (-4)^{165}$ |
| Automorphism group: | $\mathrm{S}_{11}$ |
| Distance-transitive: | Yes |
| Primitive |