This symmetrohedron has the six regular octagons, eight regular hexagons, and twelve squares of its “parent,” the great rhombicuboctahedron. It was modified by using the “morph duals at 50% by tilting to rectify” function, twice. This left the resulting polyhedron with additional faces: 72 trapezoids (24 each, of three types), and 48 scalene triangles. That’s 146 faces in all. I made it using Stella 4d, which you can try for yourself, free, at http://www.software3d.com/Stella.php.