This lecture covers the concept of McKay graphs for finite subgroups of SU(2), defined as the complete set of inequivalent irreducible representations of the group. The lecture explains the structure of McKay graphs, focusing on their properties and connections between vertices. It delves into the positive semi-definite connected simply laced Coxeter graphs and the McKay correspondence theorem. The lecture also explores exceptional cases and the classification of finite subgroups of SU(2) based on their simply laced irreducible Coxeter types.