diff --git a/src/integration/java/org/jlab/sim/SoftwareIT.java b/src/integration/java/org/jlab/sim/SoftwareIT.java
index 5f68755..ce40999 100644
--- a/src/integration/java/org/jlab/sim/SoftwareIT.java
+++ b/src/integration/java/org/jlab/sim/SoftwareIT.java
@@ -85,6 +85,7 @@ void editorAddsEditsScoresAndRemovesSoftware() throws Exception {
     assertEquals("N", row.attr("data-archived"));
     assertEquals("3", row.attr("data-impact"), "new software scores Medium");
     assertEquals("", row.attr("data-assessed-date"), "new software is not assessed");
+    assertEquals("Not assessed", impactCell(row).text());
     assertEquals("Not assessed", levelCell(row).text());
     assertEquals("Not assessed", attentionCell(row).text());
 
@@ -142,6 +143,7 @@ void editorAddsEditsScoresAndRemovesSoftware() throws Exception {
     assertEquals("4", row.attr("data-attention"), "Impact 5 and Fragility 5 is Severe");
     assertEquals(Sim.EDITOR, row.attr("data-assessed-by"));
     assertFalse(row.attr("data-assessed-date").isEmpty(), "assessed date");
+    assertEquals("5 Critical", impactCell(row).text());
     assertEquals("2 Significant*", levelCell(row).text(), "the override, marked");
     assertEquals("Severe", attentionCell(row).text());
 
@@ -304,6 +306,42 @@ void directoryFiltersByLevelAttentionFragilityAndAssessment() throws Exception {
     assertTrue(message.contains("Not Assessed"), message);
   }
 
+  /**
+   * The directory lists the most important software first: assessed software by Ops Impact, then by
+   * Attention, then by name, and after it the software nobody has assessed.
+   */
+  @Test
+  void directoryListsHighestOpsImpactFirst() throws Exception {
+    String token = Sim.token(Sim.EDITOR);
+    String prefix = newName();
+    String unassessed = addNamed(token, prefix + "-a");
+    String mediumRobust = addNamed(token, prefix + "-b");
+    String critical = addNamed(token, prefix + "-c");
+    String mediumFragile = addNamed(token, prefix + "-d");
+    String criticalToo = addNamed(token, prefix + "-e");
+
+    // Impact, complexity and the other factors: attention is Low for 3 with 1, High for 3 with 5,
+    // and Moderate for 5 with 1
+    scoreNamed(token, mediumRobust, 3, 1);
+    scoreNamed(token, critical, 5, 1);
+    scoreNamed(token, mediumFragile, 3, 5);
+    scoreNamed(token, criticalToo, 5, 1);
+
+    String filter = "/directory?softwareName=" + Sim.encodeParam(prefix + "-*");
+
+    assertEquals(
+        List.of(critical, criticalToo, mediumFragile, mediumRobust, unassessed),
+        Sim.page(filter, null).select("tbody tr[data-name]").eachAttr("data-name"),
+        "Ops Impact, then Attention, then name, then unassessed");
+
+    assertEquals(
+        List.of(mediumFragile, mediumRobust),
+        Sim.page(filter + "&max=2&offset=2", null)
+            .select("tbody tr[data-name]")
+            .eachAttr("data-name"),
+        "the second page of two carries on in the same order");
+  }
+
   @Test
   void archivedSoftwareIsListedOnlyWhenIncluded() throws Exception {
     String name = newName();
@@ -356,6 +394,26 @@ private String newName() {
     return name;
   }
 
+  /** Adds an app of this name, which the test's cleanup removes, and returns the name. */
+  private String addNamed(String token, String name) throws Exception {
+    added.add(name);
+    assertOk(add(token, name, "APP", "N"));
+    return name;
+  }
+
+  /** Scores the software of this name: Code Complexity 1, and the other four factors the same. */
+  private static void scoreNamed(String token, String name, int impact, int others)
+      throws Exception {
+    assertOk(
+        score(
+            token,
+            row(name).attr("data-id"),
+            impact,
+            1,
+            others,
+            List.of(Map.entry("levelOverride", ""), Map.entry("levelNote", ""))));
+  }
+
   private HttpResponse<String> add(
       String token, String name, String type, String archived, String... topics) throws Exception {
     List<Map.Entry<String, String>> form = new ArrayList<>();
@@ -396,12 +454,16 @@ private static HttpResponse<String> score(
     return Sim.post("/ajax/edit-software-risk", token, form);
   }
 
+  private static Element impactCell(Element row) {
+    return row.selectFirst("td.ops-impact");
+  }
+
   private static Element levelCell(Element row) {
-    return row.select("td").get(5);
+    return row.selectFirst("td.sqa-level");
   }
 
   private static Element attentionCell(Element row) {
-    return row.select("td").get(6);
+    return row.selectFirst("td.attention");
   }
 
   /** The software's row in the directory, or null if the directory doesn't list it. */
diff --git a/src/main/java/org/jlab/sim/business/service/SoftwareService.java b/src/main/java/org/jlab/sim/business/service/SoftwareService.java
index 253788f..80eb30c 100644
--- a/src/main/java/org/jlab/sim/business/service/SoftwareService.java
+++ b/src/main/java/org/jlab/sim/business/service/SoftwareService.java
@@ -225,6 +225,7 @@ public List<Software> filterList(
       Attention attention,
       boolean fragile,
       Boolean assessed,
+      SoftwareOrder order,
       int offset,
       int max) {
     CriteriaBuilder cb = getEntityManager().getCriteriaBuilder();
@@ -253,9 +254,18 @@ public List<Software> filterList(
     }
 
     List<Order> orders = new ArrayList<>();
-    Path<String> p0 = root.get("name");
-    Order o0 = cb.asc(p0);
-    orders.add(o0);
+    if (order == SoftwareOrder.IMPACT) {
+      // Unassessed software shows no impact or attention, so it comes after all that is assessed.
+      // Its inputs are still the defaults, which leaves it in name order.
+      orders.add(
+          cb.asc(
+              cb.<Integer>selectCase().when(cb.isNull(root.get(ASSESSED_DATE)), 1).otherwise(0)));
+      orders.add(cb.desc(root.get("impact")));
+      orders.add(cb.desc(root.get("attention")));
+    }
+    orders.add(cb.asc(root.get("name")));
+    // Two repositories may hold software of the same name, and pages need a fixed order
+    orders.add(cb.asc(root.get("softwareId")));
     cq.orderBy(orders);
     return getEntityManager()
         .createQuery(cq)
diff --git a/src/main/java/org/jlab/sim/persistence/enumeration/SoftwareOrder.java b/src/main/java/org/jlab/sim/persistence/enumeration/SoftwareOrder.java
new file mode 100644
index 0000000..0d3edcc
--- /dev/null
+++ b/src/main/java/org/jlab/sim/persistence/enumeration/SoftwareOrder.java
@@ -0,0 +1,12 @@
+package org.jlab.sim.persistence.enumeration;
+
+/** The order of a list of software. */
+public enum SoftwareOrder {
+  /** By name, A to Z */
+  NAME,
+  /**
+   * The most important first: assessed software by Ops Impact from Critical down, then by Attention
+   * from Severe down, then by name; then the software nobody has assessed, by name
+   */
+  IMPACT
+}
diff --git a/src/main/java/org/jlab/sim/presentation/controller/Directory.java b/src/main/java/org/jlab/sim/presentation/controller/Directory.java
index ea563b7..08a3473 100644
--- a/src/main/java/org/jlab/sim/presentation/controller/Directory.java
+++ b/src/main/java/org/jlab/sim/presentation/controller/Directory.java
@@ -120,6 +120,7 @@ protected void doGet(HttpServletRequest request, HttpServletResponse response)
             attention,
             fragile,
             assessed,
+            SoftwareOrder.IMPACT,
             offset,
             maxPerPage);
 
diff --git a/src/main/java/org/jlab/sim/presentation/controller/Sync.java b/src/main/java/org/jlab/sim/presentation/controller/Sync.java
index 510cb2d..d54228e 100644
--- a/src/main/java/org/jlab/sim/presentation/controller/Sync.java
+++ b/src/main/java/org/jlab/sim/presentation/controller/Sync.java
@@ -20,6 +20,7 @@
 import org.jlab.sim.persistence.entity.Repository;
 import org.jlab.sim.persistence.entity.Software;
 import org.jlab.sim.persistence.enumeration.Include;
+import org.jlab.sim.persistence.enumeration.SoftwareOrder;
 import org.jlab.sim.persistence.view.SoftwareDiff;
 import org.jlab.smoothness.business.exception.UserFriendlyException;
 import org.jlab.smoothness.presentation.util.ParamConverter;
@@ -100,6 +101,7 @@ protected void doGet(HttpServletRequest request, HttpServletResponse response)
               null,
               false,
               null,
+              SoftwareOrder.NAME,
               0,
               Integer.MAX_VALUE);
 
diff --git a/src/main/webapp/WEB-INF/tags/directory-page.tag b/src/main/webapp/WEB-INF/tags/directory-page.tag
index a1b3a0c..e3425bc 100644
--- a/src/main/webapp/WEB-INF/tags/directory-page.tag
+++ b/src/main/webapp/WEB-INF/tags/directory-page.tag
@@ -160,6 +160,7 @@
             <th>Description</th>
             <th>Repo</th>
             <th>Maintainers</th>
+            <th>Ops Impact</th>
             <th>SQA Level</th>
             <th>Attention</th>
         </tr>
@@ -214,13 +215,19 @@
                 </td>
                 <td><c:out value="${software.repository.name}"/></td>
                 <td class="maintainers"><c:forEach items="${software.maintainerUsernameList}" var="username"><div><c:out value="${username}"/></div></c:forEach></td>
+                <td class="ops-impact">
+                    <a class="risk-dialog-opener${software.assessed ? '' : ' not-assessed'}" href="#"><c:choose>
+                        <c:when test="${software.assessed}"><c:out value="${software.impact.value} ${software.impact}"/></c:when>
+                        <c:otherwise>Not assessed</c:otherwise>
+                    </c:choose></a>
+                </td>
                 <td class="sqa-level">
                     <a class="risk-dialog-opener${software.assessed ? '' : ' not-assessed'}" href="#"><c:choose>
                         <c:when test="${software.assessed}"><c:out value="${software.effectiveControlLevel.value} ${software.effectiveControlLevel}"/><c:if test="${not empty software.controlLevelOverride}"><span class="override-marker" title="Overridden from ${software.controlLevel.value} ${software.controlLevel}: ${fn:escapeXml(software.controlLevelNote)}">*</span></c:if></c:when>
                         <c:otherwise>Not assessed</c:otherwise>
                     </c:choose></a>
                 </td>
-                <td>
+                <td class="attention">
                     <a class="risk-dialog-opener${software.assessed ? '' : ' not-assessed'}" href="#"><c:choose>
                         <c:when test="${software.assessed}"><c:out value="${software.attention}"/></c:when>
                         <c:otherwise>Not assessed</c:otherwise>
diff --git a/src/main/webapp/resources/css/directory.css b/src/main/webapp/resources/css/directory.css
index f1e9a3c..77157af 100644
--- a/src/main/webapp/resources/css/directory.css
+++ b/src/main/webapp/resources/css/directory.css
@@ -13,7 +13,8 @@ td:nth-child(3) {
 td.maintainers {
     white-space: nowrap;
 }
-/* Keep "2 Significant" on one line; "Not assessed" may wrap, as under Attention */
+/* Keep "5 Critical" and "2 Significant" on one line; "Not assessed" may wrap, as under Attention */
+td.ops-impact .risk-dialog-opener:not(.not-assessed),
 td.sqa-level .risk-dialog-opener:not(.not-assessed) {
     white-space: nowrap;
 }