This minicourse provides a gentle introduction into the theory of coherent configurations and association schemes. We start the considerations with the theory of permutation groups and their actions. After that we introduce the terms of a coherent configuration and association scheme. A significant family of coherent configurations and associations schemes arose with the aid of permutation groups, these are called Schurian. We spend some time on the investigations of a few objects which are non-Schurian, while at the end of the minicourse we will approach the most symmetric (in the sense of the number of automorphisms) strongly regular graph with parameters (26,10,3,4).
Basic knowledge of algebra is required, but all other concepts are explained in the course.