Contents -- Chapter 1: Introduction -- Chapter 2: Preliminaries -- Chapter 3: Classical groups of large dimension: factorizations as a product of two geometric subgroups -- Chapter 4: Classical groups of large dimension: factorizations in which one of the factors is non-geometric -- Chapter 5: Classical groups of small dimension -- Chapter 6: Factorizations of sporadic groups -- Chapter 7: Factorizations of alternating groups -- Chapter 8: Factorizations of exceptional groups of Lie type -- Chapter 9: On maximal subgroups of symmetric and alternating groups

Appendix 1: Lower bounds for dimensions of representations of sporadic groupsAppendix 2: Uniqueness of certain representations of Suz and Co[sub(1)] -- Appendix 3: Orbit decomposition of B[sub(4)](q) on a spin module -- References