  We describe all $\mathbb F_{p}$-braces of cardinality $p^{4}$ which are not
right nilpotent. Our solution illustrates a general way of investigating
$\mathbb F_{p}$-braces of cardinality $p^{n}$ with a given multiplicative
group. The constructed braces are left nilpotent, solvable and prime, and they
also contain a non-zero strongly nilpotent ideal.
