I'm a complete beginner in finite groups, and I'm doing a related project with my classmates in this semester. So I have a certainly concrete problem in a computational fact of group theory: I need to find all the groups of order <2001 with a composition factor $A_5$. I don't wanna to directly use magma (programming) to find the answer with brute force. Can any veteran tell me whether there's any other valuable approach to tackle this problem? or we must program to solve it? thanks!
2026-04-13 14:00:18.1776088818
Small (of order<2001) groups with a composition factor $A_5$
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