Representations of skew left braces of size pq

In this paper, we study the irreducible representations of skew left braces of size [Formula: see text], which is equivalent to studying the representation theory of groups of order [Formula: see text] arising from skew left braces, where [Formula: see text] are primes. To achieve this, we classify all semidirect product groups [Formula: see text] associated with skew left braces [Formula: see text] of order [Formula: see text], up to isomorphism.