---
tag: 0YB2NRP0T5
kind: concept
name: Cayley table
aliases: [multiplication-table]
msc: [20A05]
sources:
  - url: https://en.wikipedia.org/wiki/Cayley_table
    locator: Structure and layout
same_as:
  wikidata: Q1546924
  wikipedia: Cayley table
---

## Summary

A Cayley table of a finite set with a binary operation is a square table. It shows the result of the operation for each pair of elements.
For a finite group, it shows the full multiplication of the group.