Are all known finite quotients of the braid group given by reducing the Burau or Lawrence-Krammer representations mod $p$ and evaluating at some element in $\mathbb{F}_p$? I recently saw a paper giving a lower bound for the size of quotients of $B_n$, but there were no other examples and I'm trying to find some. Specifically, I'm looking at the case when $n$ is even, if that helps.
Thanks!