Timeouts on live group pages

[roed314]

I think there's utility in keeping live group pages (especially for abelian groups and groups of order less than 2000 that aren't in the database). But certain things do time out, causing annoying errors in the flasklog. This issue is for brainstorming ways to improve the situation.

For example, we recently got timeouts on 119633.1 (a large prime cyclic group) from trying to identify its automorphism group, and on 1060502.1 (nonabelian group, order twice a prime) from listing conjugacy classes. One easy rule: no prime divisor larger than 2000. More broadly, we should stress test various factorization patterns.