Great rhombated hexateron

The great rhombated hexateron, or garx, also called the cantitruncated 5-simplex, is a convex uniform polyteron. It consists of 15 tetrahedral prisms, 6 truncated pentachora, and 6 great rhombated pentachora. One truncated pentachoron, 1 tetrahedral prism, and 3 great rhombated pentachora join at each vertex. As the name suggests, it is the cantitruncation of the hexateron.

Vertex coordinates
The vertices of a great rhombated hexateron of edge length 1 can be given in 6 dimensions as all permutations of:
 * $$\left(\frac{3\sqrt2}{2},\,\sqrt2,\,\frac{\sqrt2}{2},\,0,\,0,\,0\right).$$

Representations
A great rhombated hexateron has the following Coxeter diagrams:


 * x3x3x3o3o (full symmetry)
 * xuxx3xxux3ooox3oooo&#xt (A5 axial, truncated pentachoron-first)