What do you call a convex polyhedron whose symmetry group is transitive on the facets?

I'd like to know a name/source for the following concept:

Let $P$ be a convex polyhedron in $\mathbb{R}^3$. Let $G$ be its symmetry group, and let $F$ be the collection of (top-dimensional) faces of $P$. Note that $G$ acts on $F$. Let's agree to call $P$ a transitive polyhedron if the action of $G$ on $F$ is transitive.

Have these been studied? If so, what are they actually called? What other nice properties do they enjoy?

Here are some examples of transitive polyhedra:

Many thanks!