It has degree 16, with 27 vertices and 216 edges.
It has girth 3, diameter 2 and radius 2.
Its symmetry group has 51840 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
https://en.wikipedia.org/wiki/Schl%C3%A4fli_graph
For copyright details of Wikipedia image see Schläfli_graph.svg.
