Cayley Tables — Group Theory

The multiplication table of a finite group encodes its entire algebraic structure

Group:

Cyclic Group ℤ₆

The cyclic group of order 6. Every element is a power of a single generator g. Isomorphic to ℤ/6ℤ under addition.

Latin square property: each element appears exactly once in every row and column — a necessary and sufficient condition for a Cayley table.

Hover a cell to see the product. Click to highlight the row/column.