The Patterson graph is the graph whose vertices are the 
centers of the Sylow 3-groups of the Suzuki
group and in which two vertices are adjacent whenever they generate an Abelian
subgroup of order 
.
The resulting graph is the distance-transitive
graph known as the Patterson graph (Brouwer et al. 1989, p. 410).
Patterson Graph
See also
Distance-Transitive Graph, Suzuki Graph, Suzuki GroupExplore with Wolfram|Alpha
References
Brouwer, A. E.; Cohen, A. M.; and Neumaier, A. "The Patterson Graph for Suz." §13.7 in Distance Regular Graphs. New York: Springer-Verlag, pp. 211 and 410-412, 1989.Referenced on Wolfram|Alpha
Patterson GraphCite this as:
Weisstein, Eric W. "Patterson Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PattersonGraph.html