The Cs point groupCs carries 2 symmetry operations in 2 classes, and no axis of rotation above the identity. A character table of the group therefore has 2 columns and as many irreducible representations.It contains an improper operation, so no molecule in it is chiral. It leaves a direction invariant, so a molecule in it may carry a permanent dipole.In Hermann-Mauguin notation it is m, and it is one of the crystal classes of the monoclinic system. A diffraction pattern from a crystal in it shows the Laue symmetry 2/m.

Bromochloromethane (CH2ClBr): One plane holds C, Cl and Br and bisects the two hydrogens.

Thionyl chloride (SOCl2): The pyramid keeps one plane, through S and O, and nothing else.

The 2 conjugacy classes of Cs, in the order a character table prints them.

Class

Operations in it

σh

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: