Its Coxeter symbol is 231, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of the 2-node branch.
The 231 is composed of 126 vertices, 2016 edges, 10080 faces (Triangles), 20160 cells (tetrahedra), 16128 4-faces (3-simplexes), 4788 5-faces (756 pentacrosses, and 4032 5-simplexes), 632 6-faces (576 6-simplexes and 56 221).
It is created by a Wythoff construction upon a set of 7 hyperplane mirrors in 7-dimensional space.
Seen in a configuration matrix, the element counts can be derived by mirror removal and ratios of Coxeter group orders.
[3] The rectified 231 is a rectification of the 231 polytope, creating new vertices on the center of edge of the 231.