diff --git a/lib/vspchom.gi b/lib/vspchom.gi
index 944dc5dec0..122267fd6d 100644
--- a/lib/vspchom.gi
+++ b/lib/vspchom.gi
@@ -317,8 +317,7 @@ BindGlobal( "MakeImagesInfoLinearGeneralMappingByImages", function( map )
                                         x -> LinearCombination( B, x ) ) );
       map!.corelations         := Immutable( ech.relations );
       map!.imagesbasispreimage := Immutable( List( ech.coeffs,
-                                        x -> LinearCombination( x,
-                                                 mapi[2] ) ) );
+                                    x -> LinearCombination( mapi[2], x ) ) );
 
     fi;
 end );
diff --git a/tst/testbugfix/2021-05-11-LeftModHom.tst b/tst/testbugfix/2021-05-11-LeftModHom.tst
new file mode 100644
index 0000000000..d2ee037c9a
--- /dev/null
+++ b/tst/testbugfix/2021-05-11-LeftModHom.tst
@@ -0,0 +1,47 @@
+#4481, issue reported by Chris Wensley
+gap> G := Group( (1,2,3,4,5) );;
+gap> F := GF(3);;
+gap> A := GroupRing( F, G );;
+gap> vecA := BasisVectors( Basis( A ) );;
+gap> AI := AugmentationIdeal( A );;
+gap> vecI := BasisVectors( Basis( AI ) );;
+gap> maps := ListWithIdenticalEntries( 5, 0 );;
+gap> for j in [1..5] do
+>        im := List( vecI, v -> v*vecA[j] );
+>        maps[j] := LeftModuleHomomorphismByImages( AI, AI, vecI, im );
+>    od;
+gap> M := Algebra( F, maps );;
+gap> hom := LeftModuleHomomorphismByImages( A, M, vecA, maps );
+[ (Z(3)^0)*(), (Z(3)^0)*(1,2,3,4,5), (Z(3)^0)*(1,3,5,2,4), 
+  (Z(3)^0)*(1,4,2,5,3), (Z(3)^0)*(1,5,4,3,2) ] -> 
+[ [ (Z(3)^0)*()+(Z(3))*(1,2,3,4,5), (Z(3)^0)*(1,2,3,4,5)+(Z(3))*(1,3,5,2,4), 
+      (Z(3)^0)*(1,3,5,2,4)+(Z(3))*(1,4,2,5,3), 
+      (Z(3)^0)*(1,4,2,5,3)+(Z(3))*(1,5,4,3,2) ] -> 
+    [ (Z(3)^0)*()+(Z(3))*(1,2,3,4,5), (Z(3)^0)*(1,2,3,4,5)+(Z(3))*(1,3,5,2,4),
+      (Z(3)^0)*(1,3,5,2,4)+(Z(3))*(1,4,2,5,3), 
+      (Z(3)^0)*(1,4,2,5,3)+(Z(3))*(1,5,4,3,2) ], 
+  [ (Z(3)^0)*()+(Z(3))*(1,2,3,4,5), (Z(3)^0)*(1,2,3,4,5)+(Z(3))*(1,3,5,2,4), 
+      (Z(3)^0)*(1,3,5,2,4)+(Z(3))*(1,4,2,5,3), 
+      (Z(3)^0)*(1,4,2,5,3)+(Z(3))*(1,5,4,3,2) ] -> 
+    [ (Z(3)^0)*(1,2,3,4,5)+(Z(3))*(1,3,5,2,4), 
+      (Z(3)^0)*(1,3,5,2,4)+(Z(3))*(1,4,2,5,3), 
+      (Z(3)^0)*(1,4,2,5,3)+(Z(3))*(1,5,4,3,2), (Z(3))*()+(Z(3)^0)*(1,5,4,3,2) 
+     ], 
+  [ (Z(3)^0)*()+(Z(3))*(1,2,3,4,5), (Z(3)^0)*(1,2,3,4,5)+(Z(3))*(1,3,5,2,4), 
+      (Z(3)^0)*(1,3,5,2,4)+(Z(3))*(1,4,2,5,3), 
+      (Z(3)^0)*(1,4,2,5,3)+(Z(3))*(1,5,4,3,2) ] -> 
+    [ (Z(3)^0)*(1,3,5,2,4)+(Z(3))*(1,4,2,5,3), 
+      (Z(3)^0)*(1,4,2,5,3)+(Z(3))*(1,5,4,3,2), (Z(3))*()+(Z(3)^0)*(1,5,4,3,2),
+      (Z(3)^0)*()+(Z(3))*(1,2,3,4,5) ], 
+  [ (Z(3)^0)*()+(Z(3))*(1,2,3,4,5), (Z(3)^0)*(1,2,3,4,5)+(Z(3))*(1,3,5,2,4), 
+      (Z(3)^0)*(1,3,5,2,4)+(Z(3))*(1,4,2,5,3), 
+      (Z(3)^0)*(1,4,2,5,3)+(Z(3))*(1,5,4,3,2) ] -> 
+    [ (Z(3)^0)*(1,4,2,5,3)+(Z(3))*(1,5,4,3,2), (Z(3))*()+(Z(3)^0)*(1,5,4,3,2),
+      (Z(3)^0)*()+(Z(3))*(1,2,3,4,5), (Z(3)^0)*(1,2,3,4,5)+(Z(3))*(1,3,5,2,4) 
+     ], 
+  [ (Z(3)^0)*()+(Z(3))*(1,2,3,4,5), (Z(3)^0)*(1,2,3,4,5)+(Z(3))*(1,3,5,2,4), 
+      (Z(3)^0)*(1,3,5,2,4)+(Z(3))*(1,4,2,5,3), 
+      (Z(3)^0)*(1,4,2,5,3)+(Z(3))*(1,5,4,3,2) ] -> 
+    [ (Z(3))*()+(Z(3)^0)*(1,5,4,3,2), (Z(3)^0)*()+(Z(3))*(1,2,3,4,5), 
+      (Z(3)^0)*(1,2,3,4,5)+(Z(3))*(1,3,5,2,4), 
+      (Z(3)^0)*(1,3,5,2,4)+(Z(3))*(1,4,2,5,3) ] ]