This is an antipodal 3-cover of the Brouwer–Haemers graph, and an induced subgraph of Soicher's second graph.
| Number of vertices: | $243$ |
| Diameter: | $4$ |
| Intersection array: | $\{20,18,4,1;1,2,18,20\}$ |
| Spectrum: | $20^1 5^{72} 2^{60} (-4)^{90} (-7)^{20}$ |
| Automorphism group: | $3^5:(2\times M_{10})$ |
| Distance-transitive: | Yes |
| Antipodal |