2. A molecule has a C5 axis of rotation and a reflection plane perpendicular to this axis. Suppose that there is at least one other reflection plane (there may be more than one!), but no higher order proper rotation axes present. Determine the following features concerning the symmetry of the molecule. (a) List all the symmetry elements that must be present. (b) What is the order, h, of the point group? (c) How many irreducible representations would you expect to find for this symmetry group?

2. A molecule has a C5 axis of rotation and a reflection plane perpendicular to this axis. Suppose that there is at least one other reflection plane (there may be more than one!), but no higher order proper rotation axes present. Determine the following features concerning the symmetry of the molecule. (a) List all the symmetry elements that must be present. (b) What is the order, h, of the point group? (c) How many irreducible representations would you expect to find for this symmetry group?