By Wythoff construction it has tetrahedral symmetry (Td), like the rhombitetratetrahedron construction for the cuboctahedron, with alternate triangles with inverted orientations.
This structure is built using the Wythoff method and exhibits tetrahedral symmetry (Td), similar to the rhombitetratetrahedron construction for the cuboctahedron, with alternating triangles having inverted orientations.