I can see four reflections of the following prism
(1 4), (3 5), (2 5) and (2 3), which are reflections in the planes passing through the centre of each of the faces 2, 3, 5 and their perspective opposite vertical edges.
What are the two other reflections? I found (2 3 5)(1 4) and (2 5 3)(1 4) but can't imagine them geometrically.