diff --git a/src/group_action_error.jl b/src/group_action_error.jl
index f9bc5db..29a4d22 100644
--- a/src/group_action_error.jl
+++ b/src/group_action_error.jl
@@ -177,6 +177,6 @@ function check_group_action(
     basis::StarAlgebras.ExplicitBasis;
     full_check = false,
 )
-    ehom = CachedExtensionHomomorphism(G, act, basis; precompute = false)
+    ehom = SchreierExtensionHomomorphism(G, act, basis; memoize = false)
     return check_group_action(G, ehom; full_check = full_check)
 end
diff --git a/src/sa_basis.jl b/src/sa_basis.jl
index e14792a..0403425 100644
--- a/src/sa_basis.jl
+++ b/src/sa_basis.jl
@@ -137,11 +137,11 @@ function symmetry_adapted_basis(
     semisimple = false,
 )
     tbl = CharacterTable(S, G)
-    ehom = CachedExtensionHomomorphism(
+    ehom = SchreierExtensionHomomorphism(
         parent(tbl),
         action,
         basis;
-        precompute = true,
+        memoize = true,
     )
     check_group_action(G, ehom; full_check = false)
     return symmetry_adapted_basis(
@@ -161,11 +161,11 @@ function symmetry_adapted_basis(
     semisimple = false,
 )
     tbl = CharacterTable(S, G)
-    ehom = CachedExtensionHomomorphism(
+    ehom = SchreierExtensionHomomorphism(
         parent(tbl),
         action,
         basis;
-        precompute = true,
+        memoize = true,
     )
     check_group_action(G, ehom; full_check = false)
     return symmetry_adapted_basis(T, tbl, ehom; semisimple = semisimple)
diff --git a/src/wedderburn_decomposition.jl b/src/wedderburn_decomposition.jl
index fc2c055..3c332ca 100644
--- a/src/wedderburn_decomposition.jl
+++ b/src/wedderburn_decomposition.jl
@@ -62,7 +62,7 @@ function WedderburnDecomposition(
     tbl = CharacterTable(S, G)
     invariants = Threads.@spawn invariant_vectors(tbl, action, basis_full)
 
-    ehom = CachedExtensionHomomorphism(G, action, basis_half; precompute = true)
+    ehom = SchreierExtensionHomomorphism(G, action, basis_half; memoize = true)
     check_group_action(G, ehom; full_check = false)
 
     Uπs = Threads.@spawn symmetry_adapted_basis(