The D5h point groupD5h carries 20 symmetry operations in 8 classes, around a principal axis of order 5. A character table of the group therefore has 8 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.

Ferrocene, eclipsed (C10H10Fe): The rings superimpose, so the plane between them is σh.

Iodine heptafluoride (IF7): A pentagonal bipyramid: five C2 in the equatorial plane, which is σh.

Cyclopentadienide (C5H5): A flat aromatic five-ring: the ring plane is σh.

The 8 conjugacy classes of D5h, in the order a character table prints them.

Class

Operations in it

2C5

2C5^2

5C2

σh

2S5

2S5^3

5σv

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: