diff --git a/Code/Mantid/Framework/PythonInterface/mantid/geometry/src/Exports/SymmetryOperationFactory.cpp b/Code/Mantid/Framework/PythonInterface/mantid/geometry/src/Exports/SymmetryOperationFactory.cpp
index 46186e33b133..8c991161b1d0 100644
--- a/Code/Mantid/Framework/PythonInterface/mantid/geometry/src/Exports/SymmetryOperationFactory.cpp
+++ b/Code/Mantid/Framework/PythonInterface/mantid/geometry/src/Exports/SymmetryOperationFactory.cpp
@@ -6,12 +6,23 @@
 using namespace Mantid::Geometry;
 using namespace boost::python;
 
+namespace {
+    using namespace Mantid::PythonInterface;
+
+    SymmetryOperation_sptr createSymOpPython(SymmetryOperationFactoryImpl & self, const std::string &identifier)
+    {
+        SymmetryOperation_const_sptr constSymOp = self.createSymOp(identifier);
+
+        return boost::const_pointer_cast<SymmetryOperation>(constSymOp);
+    }
+}
+
 void export_SymmetryOperationFactory()
 {
 
     class_<SymmetryOperationFactoryImpl,boost::noncopyable>("SymmetryOperationFactoryImpl", no_init)
             .def("exists", &SymmetryOperationFactoryImpl::exists)
-            .def("createSymOp", &SymmetryOperationFactoryImpl::createSymOp)
+            .def("createSymOp", &createSymOpPython)
             .def("getKeys", &SymmetryOperationFactoryImpl::getKeys, "Returns all registered symmetry operations")
             .def("Instance", &SymmetryOperationFactory::Instance, return_value_policy<reference_existing_object>(),
                  "Returns a reference to the SymmetryOperationFactory singleton")
diff --git a/Code/Mantid/Framework/PythonInterface/test/python/mantid/geometry/CMakeLists.txt b/Code/Mantid/Framework/PythonInterface/test/python/mantid/geometry/CMakeLists.txt
index dc670926c537..a6dc06eed663 100644
--- a/Code/Mantid/Framework/PythonInterface/test/python/mantid/geometry/CMakeLists.txt
+++ b/Code/Mantid/Framework/PythonInterface/test/python/mantid/geometry/CMakeLists.txt
@@ -10,6 +10,8 @@ set ( TEST_PY_FILES
   RectangularDetectorTest.py
   ReferenceFrameTest.py
   UnitCellTest.py
+  PointGroupTest.py
+  SymmetryOperationTest.py
 )
 
 check_tests_valid ( ${CMAKE_CURRENT_SOURCE_DIR} ${TEST_PY_FILES} )
diff --git a/Code/Mantid/Framework/PythonInterface/test/python/mantid/geometry/PointGroupTest.py b/Code/Mantid/Framework/PythonInterface/test/python/mantid/geometry/PointGroupTest.py
new file mode 100644
index 000000000000..358491f5964b
--- /dev/null
+++ b/Code/Mantid/Framework/PythonInterface/test/python/mantid/geometry/PointGroupTest.py
@@ -0,0 +1,47 @@
+import unittest
+from mantid.geometry import PointGroup, PointGroupFactoryImpl
+from mantid.kernel import V3D
+
+class PointGroupTest(unittest.TestCase):
+
+    def test_creation(self):
+        self.assertRaises(RuntimeError, PointGroupFactoryImpl.Instance().createPointGroup, "none")
+
+        PointGroupFactoryImpl.Instance().createPointGroup("m-3m")
+
+    def test_getInfo(self):
+        pg = PointGroupFactoryImpl.Instance().createPointGroup("m-3m")
+        self.assertEquals(pg.getName(), "m-3m (Cubic)")
+        self.assertEquals(pg.getSymbol(), "m-3m")
+        self.assertEquals(pg.crystalSystem(), PointGroup.CrystalSystem.Cubic)
+
+    def test_isEquivalent(self):
+        hkl1 = V3D(1, 1, 1)
+        hkl2 = V3D(-1, -1, -1)
+        hkl3 = V3D(-1, -1, 2)
+
+        pg = PointGroupFactoryImpl.Instance().createPointGroup("m-3m")
+        self.assertTrue(pg.isEquivalent(hkl1, hkl2))
+        self.assertFalse(pg.isEquivalent(hkl1, hkl3))
+
+    def test_getEquivalents(self):
+        hkl1 = V3D(1, 0, 0)
+        hkl2 = V3D(-1, 0, 0)
+
+        pg = PointGroupFactoryImpl.Instance().createPointGroup("-1")
+        equivalents = pg.getEquivalents(hkl1)
+
+        self.assertTrue(hkl1 in equivalents)
+        self.assertTrue(hkl2 in equivalents)
+
+        self.assertEquals(len(equivalents), 2)
+
+    def test_getReflectionFamily(self):
+        hkl1 = V3D(0, 0, 1)
+        hkl2 = V3D(-1, 0, 0)
+
+        pg = PointGroupFactoryImpl.Instance().createPointGroup("m-3m")
+        self.assertEquals(pg.getReflectionFamily(hkl1), pg.getReflectionFamily(hkl2))
+
+if __name__ == '__main__':
+    unittest.main()
\ No newline at end of file
diff --git a/Code/Mantid/Framework/PythonInterface/test/python/mantid/geometry/SymmetryOperationTest.py b/Code/Mantid/Framework/PythonInterface/test/python/mantid/geometry/SymmetryOperationTest.py
new file mode 100644
index 000000000000..120499f9cb2c
--- /dev/null
+++ b/Code/Mantid/Framework/PythonInterface/test/python/mantid/geometry/SymmetryOperationTest.py
@@ -0,0 +1,28 @@
+import unittest
+from mantid.geometry import SymmetryOperation, SymmetryOperationFactoryImpl
+from mantid.kernel import V3D
+
+class SymmetryOperationTest(unittest.TestCase):
+
+    def test_creation(self):
+        self.assertRaises(RuntimeError, SymmetryOperationFactoryImpl.Instance().createSymOp, "none")
+
+        SymmetryOperationFactoryImpl.Instance().createSymOp("m [001]")
+
+    def test_getInfo(self):
+        symOp = SymmetryOperationFactoryImpl.Instance().createSymOp("m [001]")
+        self.assertEquals(symOp.order(), 2)
+        self.assertEquals(symOp.identifier(), "m [001]")
+
+    def test_apply(self):
+        symOp = SymmetryOperationFactoryImpl.Instance().createSymOp("m [001]")
+
+        hkl1 = V3D(1, 1, 1)
+        hkl2 = symOp.apply(hkl1)
+
+        self.assertEquals(hkl2, V3D(1, 1, -1))
+        self.assertEquals(symOp.apply(hkl2), hkl1)
+
+
+if __name__ == '__main__':
+    unittest.main()
\ No newline at end of file