Great rhombated tesseractic tetracomb

The great rhombated tesseractic tetracomb or grittit, also called the cantitruncated tesseractic tetracomb, is a convex uniform tetracomb. 4 great rhombated tesseracts, 1 truncated hexadecachoron, and 1 octahedral prism join at each vertex of this tessellation. As the name suggests, it is the cantitruncation of the tesseractic tetracomb.

Vertex coordinates
The vertices of a great rhombated tesseractic tetracomb of edge length 1 are given by all permutations of:


 * $$\left(±\frac12+(1+2\sqrt2)i,\,±\frac{1+\sqrt2}{2}+(1+2\sqrt2)j,\,±\frac{1+2\sqrt2}{2}+(1+2\sqrt2)k,\,±\frac{1+2\sqrt2}{2}+(1+2\sqrt2)l\right),$$

Where i, j, k, and l range over the integers.

Representations
A great rhombated tesseractic tetracomb has the following Coxeter diagrams:


 * x4x3x3o4o (full symmetry)
 * o3x3o *b3x4x (half symmetry)