--- group/assign.php	Thu Jan 15 22:14:12 1970
+++ group/assign.php	Thu Jan 15 22:14:12 1970
@@ -46,11 +46,13 @@
 $potentialmembers  = array();
 
 if ($groups = get_records('groups', 'courseid', $courseid, 'name')) {
+    uasort($groups, 'object_name_sort_compare');  // Perform natural sort on groups
     if ($assignment = get_records('groupings_groups', 'groupingid', $grouping->id)) {
         foreach ($assignment as $ass) {
             $currentmembers[$ass->groupid] = $groups[$ass->groupid];
             unset($groups[$ass->groupid]);
         }
+        uasort($currentmembers, 'object_name_sort_compare'); // Perform natural sort on assigned groups
     }
     $potentialmembers = $groups;
 }
--- group/groupings.php	Thu Jan 15 22:14:12 1970
+++ group/groupings.php	Thu Jan 15 22:14:12 1970
@@ -41,11 +41,13 @@
 
 $data = array();
 if ($groupings = get_records('groupings', 'courseid', $course->id, 'name')) {
+    uasort($groupings, 'object_name_sort_compare'); // Perform natural sort on groupings
     foreach($groupings as $grouping) {
         $line = array();
         $line[0] = format_string($grouping->name);
 
         if ($groups = groups_get_all_groups($courseid, 0, $grouping->id)) {
+            uasort($groups, 'object_name_sort_compare'); // Perform natural sort on groups
             $groupnames = array();
             foreach ($groups as $group) {
                 $groupnames[] = format_string($group->name);
--- group/index.php	Thu Jan 15 22:14:12 1970
+++ group/index.php	Thu Jan 15 22:14:12 1970
@@ -183,6 +183,8 @@
 echo ' onclick="window.status=this.selectedIndex==-1 ? \'\' : this.options[this.selectedIndex].title;" onmouseout="window.status=\'\';">'."\n";
 
 $groups = groups_get_all_groups($courseid);
+uasort($groups, 'object_name_sort_compare'); // Perform natural sort on groups
+
 $selectedname = ' ';
 
 if ($groups) {
--- group/lib.php	Thu Jan 15 22:14:12 1970
+++ group/lib.php	Thu Jan 15 22:14:12 1970
@@ -725,4 +725,15 @@
     return $roles;
 }
 
+/**
+ * Custom array sort function to do natural ordering on the "name" attribute
+ * of the member objects.  Used on groups and groupings.
+ *
+ * @param object $a First object to compare
+ * @param object $b Second object to compare
+ * @return array As described in groups_get_members_by_role
+ */
+function object_name_sort_compare($a, $b) {
+    return strnatcasecmp($a->name, $b->name);
+}
 ?>
--- group/members.php	Thu Jan 15 22:14:12 1970
+++ group/members.php	Thu Jan 15 22:14:12 1970
@@ -115,6 +115,9 @@
             $usergroups[$usergroup->userid][$usergroup->id] = $usergroup;
         }
         rs_close($rs);
+        foreach($usergroups as $uid=>$ugroups) {
+            uasort($usergroups[$uid], 'object_name_sort_compare'); // Perform natural sort on user's groups
+        }
 
         foreach($potentialmembersbyrole as $roleid=>$roledata) {
             $potentialmembersoptions .= '<optgroup label="'.htmlspecialchars($roledata->name).'">';
--- group/overview.php	Thu Jan 15 22:14:12 1970
+++ group/overview.php	Thu Jan 15 22:14:12 1970
@@ -46,6 +46,7 @@
     if (!$groupings = get_records('groupings', 'courseid', $courseid, 'name')) {
         $groupings = array();
     }
+    uasort($groupings, 'object_name_sort_compare'); // Perform natural sort on groupings
     $members = array();
     foreach ($groupings as $grouping) {
         $members[$grouping->id] = array();
@@ -57,6 +58,7 @@
 if (!$groups = get_records('groups', 'courseid', $courseid, 'name')) {
     $groups = array();
 }
+uasort($groups, 'object_name_sort_compare'); // Perform natural sort on groups
 
 if (empty($CFG->enablegroupings)) {
     $groupwhere    = $groupid ? "AND g.id = $groupid" : "";
@@ -97,6 +99,25 @@
         }
     }
     rs_close($rs);
+
+    // Sort $members based on the already naturally-sorted $groups and $groupings
+    $groupKeys = array_flip(array_keys($groups));
+    foreach ($members as $gpgid=>$groupdata) {
+        $tmpGroups = array();
+        foreach ($groupKeys as $gpid=>$group) {
+            if (array_key_exists($gpid, $members[$gpgid])) {
+                $tmpGroups[$gpid]=$members[$gpgid][$gpid];
+            }
+        }
+        $members[$gpgid] = $tmpGroups;
+    }
+    $tmpGroups = array();
+    foreach ($groupKeys as $gpid=>$group) {
+        if (array_key_exists($gpid, $members[-1])) {
+            $tmpGroups[$gpid]=$members[-1][$gpid];
+        }
+    }
+    $members[-1] = $tmpGroups;
 }