Geodesic
Modular represenfations of degree $\leq 27$ of finite quasisimple groups of alternating and sporadic types
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 1 (1992), pp. 20-49

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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 $F_4(q)$, $^2E_6(q)$, $E_6(q)$. 
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     author = {A. S. Kondrat'ev},
     title = {Modular represenfations of degree $\leq 27$ of finite quasisimple groups of alternating and sporadic types},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {20--49},
     publisher = {mathdoc},
     volume = {1},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_1992_1_a2/}
}
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A. S. Kondrat'ev. Modular represenfations of degree $\leq 27$ of finite quasisimple groups of alternating and sporadic types. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 1 (1992), pp. 20-49. http://geodesic.mathdoc.fr/item/TIMM_1992_1_a2/