diff --git a/src/sage/groups/perm_gps/permgroup.py b/src/sage/groups/perm_gps/permgroup.py
index c2633b534d7..36198c25797 100644
--- a/src/sage/groups/perm_gps/permgroup.py
+++ b/src/sage/groups/perm_gps/permgroup.py
@@ -3131,15 +3131,11 @@ def as_finitely_presented_group(self, reduced=False):
 
             sage: PermutationGroup([]).as_finitely_presented_group()
             Finitely presented group < a | a >
-            sage: S = SymmetricGroup(6)
+            sage: S = SymmetricGroup(4)
             sage: perm_ls = [S.random_element() for i in range(3)]
             sage: G = PermutationGroup(perm_ls)
-            sage: while True:
-            ....:     try:
-            ....:         assert G.as_finitely_presented_group().as_permutation_group().is_isomorphic(G)  # sometimes results in GAP error (see :issue:`32141`)
-            ....:         break
-            ....:     except ValueError:
-            ....:         pass
+            sage: G.as_finitely_presented_group().as_permutation_group().is_isomorphic(G)
+            True
 
         `D_9` is the only non-Abelian group of order 18
         with an automorphism group of order 54 [TW1980]_::