The character table of a finite group lists its irreducible complex characters on its conjugacy classes. The number of rows equals the number of conjugacy classes, and the squared row degrees sum to the group order.
A **character table** is a mathematical tool used in the field of group theory, a branch of abstract algebra. It provides a compact way to represent the irreducible representations of a finite group. The character table of a group includes the following key components: 1. **Irreducible Representations**: Each row of the character table corresponds to an irreducible representation (a representation that cannot be decomposed into smaller representations) of the group.
New to topics? Read the docs here!