C5h carries 10 symmetry operations in 10 classes, around a principal axis of order 5. A character table of the group therefore has 10 columns and as many irreducible representations.
It contains an improper operation, so no molecule in it is chiral. No direction is left invariant, so a molecule in it has no permanent dipole.
Molecular point groups with their operations and character tables, the 230 space groups with a cell builder, and the 17 wallpaper and 7 frieze groups drawn live. The tool needs JavaScript, and WebGL2 for the 3D views; these are the pages it offers: