Great heptagrammic-dodecagonal duoprism

The great heptagrammic-dodecagonal duoprism, also known as the 7/3-12 duoprism, is a uniform duoprism that consists of 12 great heptagrammic prisms and 7 dodecagonal prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a great heptagrammic-dodecagonal duoprism, centered at the origin and with edge length 2sin(3π/7), are given by: where j = 2, 4, 6.
 * $$\left(1,\,0,\,±\left(1+\sqrt3\right)\sin\frac{3\pi}{7},\,±\left(1+\sqrt3\right)\sin\frac{3\pi}{7}\right),$$
 * $$\left(1,\,0,\,±\sin\frac{3\pi}{7},\,±\left(2+\sqrt3\right)\sin\frac{3\pi}{7}\right),$$
 * $$\left(1,\,0,\,±\left(2+\sqrt3\right)\sin\frac{3\pi}{7},\,±\sin\frac{3\pi}{7}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{7}\right),\,±\sin\left(\frac{j\pi}{7}\right),\,±\left(1+\sqrt3\right)\sin\frac{3\pi}{7},\,±\left(1+\sqrt3\right)\sin\frac{3\pi}{7}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{7}\right),\,±\sin\left(\frac{j\pi}{7}\right),\,±\sin\frac{3\pi}{7},\,±\left(2+\sqrt3\right)\sin\frac{3\pi}{7}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{7}\right),\,±\sin\left(\frac{j\pi}{7}\right),\,±\left(2+\sqrt3\right)\sin\frac{3\pi}{7},\,±\sin\frac{3\pi}{7}\right),$$

Representations
A great heptagrammic-dodecagonal duoprism has the following Coxeter diagrams:
 * x7/3o x12o (full symmetry)
 * x6x x7/3o (G2×I2(7) symmetry, dodecagons as dihexagons)