The antipodal quotient of this graph is the folded Johnson graph $J(12,6)$.
| Number of vertices: | $924$ |
| Diameter: | $6$ |
| Intersection array: | $\{36,25,16,9,4,1;1,4,9,16,25,36\}$ |
| Spectrum: | $36^1 24^{11} 14^{54} 6^{154} 0^{275} (-4)^{297} (-6)^{132}$ |
| Automorphism group: | $\mathrm{S}_{12} \times \mathbb{Z}_2$ |
| Distance-transitive: | Yes |
| Antipodal |