It has degree 2, with 4 vertices and 4 edges.
It has girth 4, diameter 2 and radius 2.
Its symmetry group has 8 elements.
It is bipartite.
It is Hamiltonian.
It is symmetric.
It is 3-arc-transitive.
4-cycle is the skeleton of the di-square
4-cycle is the skeleton of the hemi-di-octagon
4-cycle is the skeleton of {4,4}(2,0) with muliplicity 2
4-cycle is the skeleton of S2:{8,4} with muliplicity 2
4-cycle is the skeleton of S2:{4,6} with muliplicity 3
4-cycle is the skeleton of S4:{12,6} with muliplicity 3
4-cycle is the skeleton of S3:{4,8|2} with muliplicity 4
4-cycle is the skeleton of S3:{4,8|4} with muliplicity 4
4-cycle is the skeleton of R5.12 with muliplicity 4
4-cycle is the skeleton of S4:{4,10} with muliplicity 5
4-cycle is the skeleton of S5:{4,12} with muliplicity 6
4-cycle is the skeleton of S6:{4,14} with muliplicity 7