Indeed, the problem comes from two methods calling each other

* S.order (inherited from sage/groups/group.pyx)
* S.cardinality (inherited from sage/categories/finite_groups.py)

I filled a bug report https://github.com/sagemath/sage/issues/35490

On Wed, 12 Apr 2023 at 18:15, Liam Baker <bakerbak...@gmail.com> wrote:
>
> Hello there!
>
> I am trying to do some computations with the special linear group of a finite 
> ring (given as the quotient ring of a larger ring), and am running into an 
> issue in which it seems that Sagemath doesn't know that the special linear 
> group of a finite ring is finite? Here is a minimal working example which 
> reproduces the error:
> q = 7 FqT.<T> = GF(q)[] N = T^2+1 FqTN = QuotientRing(FqT, N*FqT) S = 
> SL(2,FqTN) S.is_finite()This error arose when I was trying to enumerate 
> subgroups of this special linear group. But the method I found in the 
> Sagemath documentation, conjugacy_classes_subgroups(), seems to not exist for 
> a special linear group?
>
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