diff --git a/tst/teststandard/grpauto.tst b/tst/teststandard/grpauto.tst
index 9c3aa57b1a..212b4cd84b 100644
--- a/tst/teststandard/grpauto.tst
+++ b/tst/teststandard/grpauto.tst
@@ -124,6 +124,52 @@ fail
 gap> IsomorphismGroups(G,PcGroupCode(CodePcGroup(G),Size(G)))=fail;
 false
 
+# permutation example
+gap> gp1:=Group(
+> (1,23,6,64,38)(2,42,18,19,11)(3,7,30,49,50)(4,14,20,45,46)(5,9,21,41,58,34, 
+> 17,29,48,44)(8,26,40,43,33)(10,22,59,60,32)(12,24,53,74,76)(13,31,55,81,77,
+> 61,25,52,75,83)(15,27,51,78,79)(16,28,47,68,71,62,36,56,70,69)(35,57,82,92,
+> 91,37,54,80,90,93)(66,72)(85,86)(88,94)(95,96)(97,98,100,102,104)(99,101,
+> 103,105,106), (1,32,11,3)(2,10,23,7)(4,15,33,12)(5,13,34,61)(6,38,42,19)(8,
+> 27,14,24)(9,25,17,31)(16,35,62,37)(18,63,64,39)(20,46,26,43)(21,44,29,
+> 58)(22,60,30,50)(28,54,36,57)(40,67,45,65)(41,66,48,72)(47,69,56,71)(49,84,
+> 59,73)(51,79,53,76)(52,77,55,83)(68,85,70,86)(74,89,78,87)(75,88,81,94)(80,
+> 91,82,93)(90,95,92,96)(97,98)(99,101)(102,104)(105,106), 
+> (4,33)(8,14)(12,15)(16,62)(20,26)(24,27)(28,36)(35,37)(40,45)(43,46)(47,
+> 56)(51,53)(54,57)(65,67)(68,70)(69,71)(74,78)(76,79)(80,82)(85,86)(87,
+> 89)(90,92)(91,93)(95,96), (1,4)(2,8)(3,12)(5,16)(6,20)(7,24)(9,28)(10,
+> 27)(11,33)(13,35)(14,23)(15,32)(17,36)(18,40)(19,43)(21,47)(22,51)(25,
+> 54)(26,42)(29,56)(30,53)(31,57)(34,62)(37,61)(38,46)(39,65)(41,68)(44,
+> 69)(45,64)(48,70)(49,74)(50,76)(52,80)(55,82)(58,71)(59,78)(60,79)(63,
+> 67)(66,85)(72,86)(73,87)(75,90)(77,91)(81,92)(83,93)(84,89)(88,95)(94,96), 
+> (1,5)(2,9)(3,13)(4,16)(6,21)(7,25)(8,28)(10,31)(11,34)(12,35)(14,36)(15,
+> 37)(17,23)(18,41)(19,44)(20,47)(22,52)(24,54)(26,56)(27,57)(29,42)(30,
+> 55)(32,61)(33,62)(38,58)(39,66)(40,68)(43,69)(45,70)(46,71)(48,64)(49,
+> 75)(50,77)(51,80)(53,82)(59,81)(60,83)(63,72)(65,85)(67,86)(73,88)(74,
+> 90)(76,91)(78,92)(79,93)(84,94)(87,95)(89,96));;
+gap> gp2:=Group(
+> (4,16)(5,20)(8,14)(9,18)(12,15)(13,39)(23,29)(24,32)(27,30)(28,35)(42,47)(43,
+> 50)(45,48)(46,60)(54,56)(55,58)(65,67)(66,72)(74,78)(75,81)(76,79)(77,
+> 83)(87,89)(88,94), (1,2,6,21,40,11,26,44,64,22)(3,10,34,61,53,36,7,25,52,
+> 62)(4,14,23,47,48)(5,9,24,43,60,20,18,32,50,46)(8,29,42,45,16)(12,27,56,74,
+> 76)(13,35,58,81,77,39,28,55,75,83)(15,30,54,78,79)(17,33,49,69,71)(19,31,
+> 51,68,70)(37,57,82,90,92)(38,59,80,91,93)(41,63)(66,72)(73,84)(88,94), 
+> (1,4,11,16)(2,8,26,14)(3,12,36,15)(5,19,20,17)(6,23,44,29)(7,27,10,30)(9,33,
+> 18,31)(13,38,39,37)(21,42,64,47)(22,45,40,48)(24,51,32,49)(25,54,34,56)(28,
+> 59,35,57)(41,65,63,67)(43,69,50,68)(46,71,60,70)(52,74,61,78)(53,76,62,
+> 79)(55,82,58,80)(66,86,72,85)(73,87,84,89)(75,91,81,90)(77,93,83,92)(88,96,
+> 94,95), (1,5)(2,9)(3,13)(4,17)(6,24)(7,28)(8,31)(10,35)(11,20)(12,37)(14,
+> 33)(15,38)(16,19)(18,26)(21,43)(22,46)(23,49)(25,55)(27,57)(29,51)(30,
+> 59)(32,44)(34,58)(36,39)(40,60)(41,66)(42,68)(45,70)(47,69)(48,71)(50,
+> 64)(52,75)(53,77)(54,80)(56,82)(61,81)(62,83)(63,72)(65,85)(67,86)(73,
+> 88)(74,90)(76,92)(78,91)(79,93)(84,94)(87,95)(89,96), 
+> (1,36,11,3)(2,10,26,7)(4,15,16,12)(5,39,20,13)(6,40,44,22)(8,30,14,27)(9,35,
+> 18,28)(17,38,19,37)(21,63,64,41)(23,48,29,45)(24,60,32,46)(25,62,34,53)(31,
+> 59,33,57)(42,67,47,65)(43,72,50,66)(49,71,51,70)(52,84,61,73)(54,79,56,
+> 76)(55,83,58,77)(68,86,69,85)(74,89,78,87)(75,94,81,88)(80,93,82,92)(90,96,
+> 91,95));;
+gap> IsomorphismGroups(gp1,gp2)<>fail;
+true
 
 
 
diff --git a/tst/teststandard/grpperm.tst b/tst/teststandard/grpperm.tst
index 4c3d6bb452..61aba8818d 100644
--- a/tst/teststandard/grpperm.tst
+++ b/tst/teststandard/grpperm.tst
@@ -177,51 +177,6 @@ gap> g:=TransitiveGroup(12,250);;
 gap> hom:=IsomorphismPcGroup(g);;
 gap> Length(ConjugacyClassesByHomomorphicImage(g,hom));
 65
-gap> gp1:=Group(
-> (1,23,6,64,38)(2,42,18,19,11)(3,7,30,49,50)(4,14,20,45,46)(5,9,21,41,58,34, 
-> 17,29,48,44)(8,26,40,43,33)(10,22,59,60,32)(12,24,53,74,76)(13,31,55,81,77,
-> 61,25,52,75,83)(15,27,51,78,79)(16,28,47,68,71,62,36,56,70,69)(35,57,82,92,
-> 91,37,54,80,90,93)(66,72)(85,86)(88,94)(95,96)(97,98,100,102,104)(99,101,
-> 103,105,106), (1,32,11,3)(2,10,23,7)(4,15,33,12)(5,13,34,61)(6,38,42,19)(8,
-> 27,14,24)(9,25,17,31)(16,35,62,37)(18,63,64,39)(20,46,26,43)(21,44,29,
-> 58)(22,60,30,50)(28,54,36,57)(40,67,45,65)(41,66,48,72)(47,69,56,71)(49,84,
-> 59,73)(51,79,53,76)(52,77,55,83)(68,85,70,86)(74,89,78,87)(75,88,81,94)(80,
-> 91,82,93)(90,95,92,96)(97,98)(99,101)(102,104)(105,106), 
-> (4,33)(8,14)(12,15)(16,62)(20,26)(24,27)(28,36)(35,37)(40,45)(43,46)(47,
-> 56)(51,53)(54,57)(65,67)(68,70)(69,71)(74,78)(76,79)(80,82)(85,86)(87,
-> 89)(90,92)(91,93)(95,96), (1,4)(2,8)(3,12)(5,16)(6,20)(7,24)(9,28)(10,
-> 27)(11,33)(13,35)(14,23)(15,32)(17,36)(18,40)(19,43)(21,47)(22,51)(25,
-> 54)(26,42)(29,56)(30,53)(31,57)(34,62)(37,61)(38,46)(39,65)(41,68)(44,
-> 69)(45,64)(48,70)(49,74)(50,76)(52,80)(55,82)(58,71)(59,78)(60,79)(63,
-> 67)(66,85)(72,86)(73,87)(75,90)(77,91)(81,92)(83,93)(84,89)(88,95)(94,96), 
-> (1,5)(2,9)(3,13)(4,16)(6,21)(7,25)(8,28)(10,31)(11,34)(12,35)(14,36)(15,
-> 37)(17,23)(18,41)(19,44)(20,47)(22,52)(24,54)(26,56)(27,57)(29,42)(30,
-> 55)(32,61)(33,62)(38,58)(39,66)(40,68)(43,69)(45,70)(46,71)(48,64)(49,
-> 75)(50,77)(51,80)(53,82)(59,81)(60,83)(63,72)(65,85)(67,86)(73,88)(74,
-> 90)(76,91)(78,92)(79,93)(84,94)(87,95)(89,96));;
-gap> gp2:=Group(
-> (4,16)(5,20)(8,14)(9,18)(12,15)(13,39)(23,29)(24,32)(27,30)(28,35)(42,47)(43,
-> 50)(45,48)(46,60)(54,56)(55,58)(65,67)(66,72)(74,78)(75,81)(76,79)(77,
-> 83)(87,89)(88,94), (1,2,6,21,40,11,26,44,64,22)(3,10,34,61,53,36,7,25,52,
-> 62)(4,14,23,47,48)(5,9,24,43,60,20,18,32,50,46)(8,29,42,45,16)(12,27,56,74,
-> 76)(13,35,58,81,77,39,28,55,75,83)(15,30,54,78,79)(17,33,49,69,71)(19,31,
-> 51,68,70)(37,57,82,90,92)(38,59,80,91,93)(41,63)(66,72)(73,84)(88,94), 
-> (1,4,11,16)(2,8,26,14)(3,12,36,15)(5,19,20,17)(6,23,44,29)(7,27,10,30)(9,33,
-> 18,31)(13,38,39,37)(21,42,64,47)(22,45,40,48)(24,51,32,49)(25,54,34,56)(28,
-> 59,35,57)(41,65,63,67)(43,69,50,68)(46,71,60,70)(52,74,61,78)(53,76,62,
-> 79)(55,82,58,80)(66,86,72,85)(73,87,84,89)(75,91,81,90)(77,93,83,92)(88,96,
-> 94,95), (1,5)(2,9)(3,13)(4,17)(6,24)(7,28)(8,31)(10,35)(11,20)(12,37)(14,
-> 33)(15,38)(16,19)(18,26)(21,43)(22,46)(23,49)(25,55)(27,57)(29,51)(30,
-> 59)(32,44)(34,58)(36,39)(40,60)(41,66)(42,68)(45,70)(47,69)(48,71)(50,
-> 64)(52,75)(53,77)(54,80)(56,82)(61,81)(62,83)(63,72)(65,85)(67,86)(73,
-> 88)(74,90)(76,92)(78,91)(79,93)(84,94)(87,95)(89,96), 
-> (1,36,11,3)(2,10,26,7)(4,15,16,12)(5,39,20,13)(6,40,44,22)(8,30,14,27)(9,35,
-> 18,28)(17,38,19,37)(21,63,64,41)(23,48,29,45)(24,60,32,46)(25,62,34,53)(31,
-> 59,33,57)(42,67,47,65)(43,72,50,66)(49,71,51,70)(52,84,61,73)(54,79,56,
-> 76)(55,83,58,77)(68,86,69,85)(74,89,78,87)(75,94,81,88)(80,93,82,92)(90,96,
-> 91,95));;
-gap> IsomorphismGroups(gp1,gp2)<>fail;
-true
 gap> STOP_TEST( "grpperm.tst", 1814420000);
 
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