K_3,3,3

Other name:    6-regular Pappus graph   

Statistics

It has degree 6, with 9 vertices and 27 edges.
It has girth 3, diameter 2 and radius 2.
Its symmetry group has 1296 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 1-arc-transitive.

Regular maps

K_3,3,3 is the skeleton of {3,6}_(3,3)
K_3,3,3 is the skeleton of C11:{6,6}

Dual graphs

K_3,3,3 is the dual of Pappus graph in the torus

Lists of Graphs
Index to Regular Maps