This paper presents a new algorithm to classify all transitive subgroups of the symmetric group up to conjugacy. It has been used to determine the transitive groups of degree up to 30. © 2004 Elsevier Ltd. All rights reserved.
Hulpke, A. (2005). Constructing transitive permutation groups. Journal of Symbolic Computation, 39(1), 1–30. https://doi.org/10.1016/j.jsc.2004.08.002