diff --git a/src/sage/combinat/symmetric_group_representations.py b/src/sage/combinat/symmetric_group_representations.py
index baf0f1bcdbc..bc488aa652f 100644
--- a/src/sage/combinat/symmetric_group_representations.py
+++ b/src/sage/combinat/symmetric_group_representations.py
@@ -1118,7 +1118,7 @@ def augmented_matrix(g):
         total_system = sum((augmented_matrix(g) for g in G), [])
         null_space = matrix(F, total_system).right_kernel()
         U = matrix(F, d_rho, d_rho, null_space.basis()[0])
-        return U.hermitian_decomposition()
+        return U.hermitian_decomposition().H
 
     def _representation_matrix_uncached(self, permutation):
         r"""
@@ -1145,7 +1145,7 @@ def _representation_matrix_uncached(self, permutation):
         assert self._ring.characteristic() > 0
         rho = self._specht.representation_matrix
         A = self._unitary_change_basis_matrix
-        return A.H * rho(permutation) * A.H.inverse()
+        return A * rho(permutation) * A.inverse()
 
 
 class UnitaryRepresentations(SymmetricGroupRepresentations_class):