I’m studying the homology groups of arithmetic groups such as $SL(5,\mathbb{Z})$. I saw in the answer to this post that we can use GAP to compute some of the homology groups for $SL(3,\mathbb{Z})$. Is the same true for $SL(5,\mathbb{Z})$? If so, how many homology groups can it compute?

In general, is there a database of some kind that has stored these types of homology calculations?

I apologize if these questions are naive. I’m very new to GAP and what it’s capabilities are.