Let $p$ be a prime number, and denote by $\mathbb{F}\_p$ the field with $p$ elements. 


Is there a classification of the maximal subgroups of $G = \mathrm{SL}\_3(\mathbb{F}\_p)$ ? 


I am interested in the indices of these subgroups in $G$ and in their ranks (minimal cardinality of a generating set).



Maximal subgroups of special linear groups over finite fields
The original references are:


H.H. Mitchell.
Determination of the ordinary and modular ternary linear groups.
Trans. Amer. Math. Soc. 12 (1911), 207-242.


R.W. Hartley.
Determination of the ternary collineation groups whose coefficients
lie in the $\mathrm{GF}(2^n)$.
Ann. of Math. 27 (1925/6), 140-158.


Our book is


The Maximal Subgroups of the Low-Dimensional Finite Classical Groups, John N. Bray, Derek F. Holt, Colva M. Roney-Dougal, London Mathematical Society Lecture Notes 407, CUP, 2013.


I hope you won't find the complete book online, because that might adversely affect its sales! If you send me an e-mail, I can send you the table for ${\rm SL}(3,q)$ from the book.


