Celligreatorhombated hexateron

The celligreatorhombated hexateron, or cograx, also called the stericantitruncated 5-simplex, is a convex uniform polyteron. It consists of 20 triangular-hexagonal duoprisms, 15 cuboctahedral prisms, 15 truncated octahedral prisms, 6 great rhombated pentachora, and 6 prismatorhombated pentachora. 1 prismatorhombated pentachoron, 1 cuboctahedral prism, 1 great rhombated pentachoron, 1 triangular-hexagonal duoprism, and 2 truncated octahedral prisms join at each vertex. As the name suggests, it is the stericantitruncation of the hexateron.

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