There's exactly one field per prime power, So all we need to specify a field is give its order, notated e.g. as $GF(n)$.

Every element of a finite field satisfies $x_{order}=x$.

It is interesting to compare this result philosophically with the classification of finite groups: fields are more constrained as they have to have two operations, and this leads to a much simpler classification!

- Finite field | 211, 795, 4
- Field | 81, 1k, 9
- Ring | 276, 1k, 12
- Group | 0, 5k, 89
- Algebra | 0, 8k, 171
- Mathematics | 17, 28k, 633
- Ciro Santilli's Homepage | 262, 218k, 4k

- Classification | 107
- Finite field of non-prime order | 131
- Finite general linear group | 79
- Isomorphism | 120
- Prime power | 16