DistanceRegular.org
$\text{Norton-Smith graph}\cong \text{Antipodal 3-cover of }O_7(3) \text{ graph on 378 vertices}$
Number of vertices:
$1134$
Diameter:
$4$
Intersection array:
$\{117,80,24,1;1,12,80,117\}$
Spectrum:
$117^1 39^{54} (9)^{182} (-3)^{702} (-9)^{195}$
Automorphism group:
$3.O_7(3):2 \cong 3.PGO(7,3)$
Distance-transitive:
$\text{Yes}$
Antipodal
$\text{Downloads}$
$\text{Graph in GRAPE format}$
References
S.P. Norton,
On the group $\mathrm{Fi}_{24}$,
Geom. Dedicata 25 (1988), 483-501.
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Last updated: 18 March 2019