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Norton-Smith graph $\cong$ Antipodal 3-cover of $O_7(3)$ 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:
$3.O_7(3):2 \cong 3.\mathrm{PGO}(7,3)$
Distance-transitive:
Yes
Antipodal
Downloads
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: 28 February 2024