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Preliminaries Maximal subgroups of type $A_1$ Maximal subgroups of type $A_2$ Maximal subgroups of type $B_2$ Maximal subgroups of type $G_2$ Maximal subgroups $X$ with rank$(X)\geq3$ Proofs of Corollaries 2 and 3 Restrictions of small $G$-modules to maximal subgroups The tables for Theorem 1 and Corollary 2 Appendix: $E_8$ structure constants References.

The maximal subgroups of positive dimension in exceptional algebraic groups