Modular represenfations of degree $\leq 27$ of finite quasisimple groups of alternating and sporadic types

The absolutely irreducible modular representations of degree $\leq 27$ of the finite quasisimple groups of alternating and sporadic types are described. This completes the description of the absolutely irreducible modular representations of degree $\leq 27$ of all finite quasisimple groups. The obtained results may be used for the classification of the maximal subgroups in finite classical groups of the dimension $\leq 27$ and in exceptional groups $F_4(q)$, $^2E_6(q)$, $E_6(q)$.