How can I figure out the order of the elements in a Cayley table?
2026-03-24 22:09:31.1774390171
Cayley Table Question
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A Cayley table does multiplication for you.
To compute powers of $x$, first look at the row and column for $x$: this gives you $x^2$.
To get $x^3$, find the row for $x$ and the column for $x^2$. (Or you can do the column for $x$ and the row for $x^2$.) This gets you $x^3$.
Adapt this to do greater powers of $x$.
Then you just need to count how many steps it takes you to reach the identity element, and you have the order.