The Reye graph is the term given in this work to the 28-vertex 48-edge Levi graph of the Reye configuration. This graph is nonhamitlonian.
Reye Graph
See also
Levi Graph, Reye ConfigurationExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Reye Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ReyeGraph.html