diff --git a/libtaskmanager/tasksmodel.h b/libtaskmanager/tasksmodel.h
--- a/libtaskmanager/tasksmodel.h
+++ b/libtaskmanager/tasksmodel.h
@@ -769,8 +769,8 @@
     Q_INVOKABLE void requestToggleGrouping(const QModelIndex &index);
 
     /**
-     * Moves a (top-level) task to a new position in the list. The insert
-     * position is bounded to the list start and end.
+     * Moves a task to a new position in the list. The insert position is
+     * is bounded to the list start and end.
      *
      * syncLaunchers() should be called after a set of move operations to
      * update the launcherList property to reflect the new order.
@@ -784,7 +784,8 @@
      * @param index An index in this tasks model.
      * @param newPos The new list position to move the task to.
      */
-    Q_INVOKABLE bool move(int row, int newPos);
+    Q_INVOKABLE bool move(int row, int newPos,
+        const QModelIndex &parent = QModelIndex());
 
     /**
      * Updates the launcher list to reflect the new order after calls to
diff --git a/libtaskmanager/tasksmodel.cpp b/libtaskmanager/tasksmodel.cpp
--- a/libtaskmanager/tasksmodel.cpp
+++ b/libtaskmanager/tasksmodel.cpp
@@ -1430,9 +1430,9 @@
     }
 }
 
-bool TasksModel::move(int row, int newPos)
+bool TasksModel::move(int row, int newPos, const QModelIndex &parent)
 {
-    if (d->sortMode != SortManual || row == newPos || newPos < 0 || newPos >= rowCount()) {
+    if (d->sortMode != SortManual || row == newPos || newPos < 0 || newPos >= rowCount(parent)) {
         return false;
     }
 
@@ -1523,23 +1523,40 @@
 
         endMoveRows();
     } else {
-        beginMoveRows(QModelIndex(), row, row, QModelIndex(), (newPos > row) ? newPos + 1 : newPos);
+        // Move a group member.
+        if (parent.isValid()) {
+            beginMoveRows(parent, row, row, parent, (newPos > row) ? newPos + 1 : newPos);
 
-        // Translate to sort map indices.
-        const QModelIndex &groupingRowIndex = mapToSource(index(row, 0));
-        const QModelIndex &preFilterRowIndex = d->preFilterIndex(groupingRowIndex);
-        row = d->sortedPreFilterRows.indexOf(preFilterRowIndex.row());
-        newPos = d->sortedPreFilterRows.indexOf(d->preFilterIndex(mapToSource(index(newPos, 0))).row());
+            // Translate to sort map indices.
+            const QModelIndex &groupingRowIndex = mapToSource(index(row, 0, parent));
+            const QModelIndex &preFilterRowIndex = d->preFilterIndex(groupingRowIndex);
+            row = d->sortedPreFilterRows.indexOf(preFilterRowIndex.row());
+            newPos = d->sortedPreFilterRows.indexOf(d->preFilterIndex(mapToSource(index(newPos, 0, parent))).row());
 
-        // Update sort mapping.
-        d->sortedPreFilterRows.move(row, newPos);
+            // Update sort mapping.
+            d->sortedPreFilterRows.move(row, newPos);
 
-        // If we moved a group parent, consolidate sort map for children.
-        if (groupMode() != GroupDisabled && d->groupingProxyModel->rowCount(groupingRowIndex)) {
-            d->consolidateManualSortMapForGroup(groupingRowIndex);
-        }
+            endMoveRows();
+        // Move a top-level item.
+        } else {
+            beginMoveRows(QModelIndex(), row, row, QModelIndex(), (newPos > row) ? newPos + 1 : newPos);
 
-        endMoveRows();
+            // Translate to sort map indices.
+            const QModelIndex &groupingRowIndex = mapToSource(index(row, 0));
+            const QModelIndex &preFilterRowIndex = d->preFilterIndex(groupingRowIndex);
+            row = d->sortedPreFilterRows.indexOf(preFilterRowIndex.row());
+            newPos = d->sortedPreFilterRows.indexOf(d->preFilterIndex(mapToSource(index(newPos, 0))).row());
+
+            // Update sort mapping.
+            d->sortedPreFilterRows.move(row, newPos);
+
+            // If we moved a group parent, consolidate sort map for children.
+            if (groupMode() != GroupDisabled && d->groupingProxyModel->rowCount(groupingRowIndex)) {
+                d->consolidateManualSortMapForGroup(groupingRowIndex);
+            }
+
+            endMoveRows();
+        }
     }
 
     // Resort.