diff --git a/CHANGELOG.md b/CHANGELOG.md
index c34dafe..6532aee 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -20,11 +20,11 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 - Added `IntegralSiteCoordinateRep.copy`, `IntegralSiteCoordinateRep.__copy__`, `IntegralSiteCoordinateRep.__deepcopy__`, and `IntegralSiteCoordinateRep.__repr__`
 - Added usage documentation for Structure manipulation and input / output
 
-
 ### Changed
 
 - Changed `IntegralSiteCoordinate.__str__` to `IntegralSiteCoordinate.__repr__` and changed the output from "b, i j k" to "[b, i, j, k]"
-
+- Changed `xtal::make_point_group` to remove the `symmetrized_with_fractional` step.
+- Changed construction of factor group translations to set components very close to zero (absolute value less than tol * 1e-5) to exactly zero.
 
 ### Fixed
 
diff --git a/include/casm/crystallography/SymType.hh b/include/casm/crystallography/SymType.hh
index e3ba3e0..ad22887 100644
--- a/include/casm/crystallography/SymType.hh
+++ b/include/casm/crystallography/SymType.hh
@@ -18,7 +18,7 @@ typedef bool SymOpTimeReversalType;
 
 /// Within the scope of crystallography, this struct will serve as the symmetry
 /// object, which holds a transformation matrix, translation vector, and time
-/// reversal boolean, whithout any other overhead.
+/// reversal boolean, without any other overhead.
 struct SymOp {
   SymOp(const SymOpMatrixType &mat, const SymOpTranslationType &translation,
         SymOpTimeReversalType time_reversal)
diff --git a/src/casm/crystallography/BasicStructureTools.cc b/src/casm/crystallography/BasicStructureTools.cc
index 3bc6d1a..252b500 100644
--- a/src/casm/crystallography/BasicStructureTools.cc
+++ b/src/casm/crystallography/BasicStructureTools.cc
@@ -162,6 +162,18 @@ xtal::SymOpVector make_factor_group_from_point_group(
       // correct this.
       translation -= drift;
 
+      // If components of the translation are very close to zero,
+      // just set them to zero
+      {
+        Eigen::VectorXd translation_cart = translation.const_cart();
+        for (int i = 0; i < 3; ++i) {
+          if (CASM::almost_zero(translation_cart[i], tol * 1e-5)) {
+            translation_cart[i] = 0.0;
+          }
+        }
+        translation.cart() = translation_cart;
+      }
+
       // Now that the translation has been adjusted, create the symmetry
       // operation and add it if we don't have an equivalent one already
       xtal::SymOp translation_operation =
diff --git a/src/casm/crystallography/SymTools.cc b/src/casm/crystallography/SymTools.cc
index 7103e59..7aefe96 100644
--- a/src/casm/crystallography/SymTools.cc
+++ b/src/casm/crystallography/SymTools.cc
@@ -154,11 +154,9 @@ std::vector<SymOp> make_point_group(Lattice const &_lat, double tol) {
   std::vector<SymOp> result;
   result.reserve(frac_point_group.size());
   Eigen::Matrix3d t_cart, t_diff;
-  Lattice symlat = symmetrized_with_fractional(tlat_reduced, frac_point_group);
   for (Eigen::Matrix3i const &frac : frac_point_group) {
-    t_cart = symlat.lat_column_mat() * frac.cast<double>() *
-             symlat.inv_lat_column_mat();
-    t_diff = t_cart * _lat.lat_column_mat() - _lat.lat_column_mat();
+    t_cart = tlat_reduced.lat_column_mat() * frac.cast<double>() *
+             tlat_reduced.inv_lat_column_mat();
     result.push_back(SymOp::point_operation(t_cart));
   }
   return result;