Cayley table

A Cayley table is a structured chart that shows how elements within a mathematical system, called a group, combine with each other. Each row and column represents the group's elements, and the cell at their intersection shows the result of combining those two elements. It helps visualize the group's operation, revealing properties like identity, inverses, and whether the group is commutative (order doesn't matter). Think of it as a multiplication table for numbers, but instead it applies to any set with a defined way to combine its elements systematically.