TITLE: Classification of finite subgroups of $\mathrm{SL}_5(\mathbb{C})$
QUESTION [9 upvotes]: $\DeclareMathOperator\SL{SL}$I would like to know if there is a full list of isomorphic class of finite subgroups of $\SL_5(\mathbb{C})$. I have already found the classification for $\SL_2$ and $\SL_3$. Thank you very much!

REPLY [13 votes]: The irreducible primitive finite subgroups of $SL_5(C)$ were classified up to isomorphism by Richard Brauer:  "Über endliche lineare Gruppen von Primzahlgrad", Math. Ann. 169 (1967), 73–96.