Unfortunately, I don't think that there is any capability like AllSubgroups 
in GAP in SymPy
GAP (ref) - Chapter 39: Groups (gap-system.org) 
<https://docs.gap-system.org/doc/ref/chap39.html#X80399CD4870FFC4B>
I also tried to find solutions, but it is not very trivial at least because 
naive solution by definition (just to test all subsets of groups) isn't 
feasibily fast enough even for small textbook problems.
So we need to implement some real algorithm for this

On Saturday, December 16, 2023 at 11:18:18 AM UTC+3 [email protected] 
wrote:

I probably should have mentioned that I have written a script for this that 
identifies inverses and then checks subsets using the one-step subgroup 
test.

On Tuesday, December 12, 2023 at 5:51:06 AM UTC-6 Douglas Gray wrote:

Hey, Everybody.

Let me say, first, that I am a mathematician, not a comp-sci person. I am 
using sympy.combinatorics.named_groups to import different groups. Has 
anyone out there written a code to identify all subgroups of a given group?

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