K_4,4,4

Statistics

It has degree 8, with 12 vertices and 48 edges.
It has girth 3, diameter 2 and radius 2.
Its symmetry group has 82944 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 1-arc-transitive.

Regular maps

K_4,4,4 is the skeleton of the dual Dyck map
K_4,4,4 is the skeleton of N22.4

Dual graphs

K_4,4,4 is the dual of Dyck graph in the orientable surface of order 3
K_4,4,4 is the dual of Shrikhande graph in the non-orientable surface of order 22

Lists of Graphs
Index to Regular Maps