GAP and MAGMA a worth a look (GAP is included in other math software, eg: SAGE and is open source, MAGMA is commercial with education discounts and free student options)
* https://en.wikipedia.org/wiki/GAP_(computer_algebra_system)
* https://en.wikipedia.org/wiki/SageMath
And on the paid side, if you have access to it, mathematica has group theory support also and a bunch of named groups implemented right out of the box including the Monster group and the Conway groups https://reference.wolfram.com/language/guide/GroupTheory.htm...
Make it simple. As simple as possible. But no simpler!
gnabgib•6h ago
signa11•2h ago