diff --git a/gap/byconj.gi b/gap/byconj.gi
index b834054..e4d7dd8 100644
--- a/gap/byconj.gi
+++ b/gap/byconj.gi
@@ -17,7 +17,7 @@ ConjugatorType@ := obj -> ConjugatorFamily(FamilyObj(obj))!.ConjType;
 
 InstallMethod(ConjugatorObj,
   "for a mult element that allows left quotients (and should be assoc)",
-  [IsMultiplicativeElement and IsLeftQuotientElement],
+  [IsMultiplicativeElement and IsLeftQuotientElement and IsRightQuotientElement],
   obj -> Objectify(ConjugatorType@(obj), Immutable(obj))
 );