DistanceRegular.org
Goethals-Seidel graph $\cong$ 2
^{nd}
subconstituent of 2
^{nd}
subconsituent of McLaughlin graph
Number of vertices:
$105$
Diameter:
$2$
Intersection array:
$\{32,27;1,12\}$
Spectrum:
$32^1 2^{84} (-10)^{20}$
Automorphism group:
$\mathrm{Aut}(\mathrm{PSL}(3,4))\cong \mathrm{PSL}(3,4).D_{12}$
Distance-transitive:
No
Primitive
Downloads
Adjacency matrix
Adjacency matrix in GAP format
Adjacency matrix in CSV format
Graph in GRAPE format
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Graphs with 101 to 150 vertices
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Graphs with diameter 2
Last updated: 23 February 2019