diff -u b/core/modules/simpletest/lib/Drupal/simpletest/Form/SimpletestTestForm.php b/core/modules/simpletest/lib/Drupal/simpletest/Form/SimpletestTestForm.php
--- b/core/modules/simpletest/lib/Drupal/simpletest/Form/SimpletestTestForm.php
+++ b/core/modules/simpletest/lib/Drupal/simpletest/Form/SimpletestTestForm.php
@@ -7,6 +7,8 @@
 
 namespace Drupal\simpletest\Form;
 
+use Drupal\Component\Utility\SortArray;
+use Drupal\Component\Utility\String;
 use Drupal\Core\Form\FormBase;
 
 /**
@@ -53,39 +55,44 @@
 
     $form['tests']['table'] = array(
       '#type' => 'table',
-      '#attached' => array('library' => array(array('simpletest', 'drupal.simpletest'))),
-      '#header' => array(
-        array('class' => array('select-all')),
-        array('data' => t('Test'), 'class' => array('simpletest_test')),
-        array('data' => t('Description'), 'class' => array('simpletest_description')),
+      '#id' => 'simpletest-form-table',
+      '#tableselect' => TRUE,
+      '#parents' => array(),
+      '#header' => array($this->t('Test'), $this->t('Description')),
+      '#empty' => $this->t('No tests to display.'),
+      '#attached' => array(
+        'library' => array(
+          array('simpletest', 'drupal.simpletest'),
+        ),
       ),
-      '#empty' => '<strong>' . t('No tests to display.') . '</strong>',
-      '#attributes' => array('id' => 'simpletest-form-table'),
     );
 
     // Define the images used to expand/collapse the test groups.
+    $image_collapsed = array(
+      '#theme' => 'image',
+      '#uri' => 'core/misc/menu-collapsed.png',
+      '#width' => '7',
+      '#height' => '7',
+      '#alt' => $this->t('Expand'),
+      '#title' => $this->t('Expand'),
+      '#suffix' => '<a href="#" class="simpletest-collapse">(' . $this->t('Expand') . ')</a>',
+    );
+    $image_extended = array(
+      '#theme' => 'image',
+      '#uri' => 'core/misc/menu-expanded.png',
+      '#width' => '7',
+      '#height' => '7',
+      '#alt' => $this->t('Collapse'),
+      '#title' => $this->t('Collapse'),
+      '#suffix' => '<a href="#" class="simpletest-collapse">(' . $this->t('Collapse') . ')</a>',
+    );
     $js = array(
       'images' => array(
-        theme('image', array(
-          'uri' => 'core/misc/menu-collapsed.png',
-          'width' => 7,
-          'height' => 7,
-          'alt' => t('Expand'),
-          'title' => t('Expand'),
-        )) . ' <a href="#" class="simpletest-collapse">(' . t('Expand') . ')</a>',
-        theme('image', array(
-          'uri' => 'core/misc/menu-expanded.png',
-          'width' => 7,
-          'height' => 7,
-          'alt' => t('Collapse'),
-          'title' => t('Collapse'),
-        )) . ' <a href="#" class="simpletest-collapse">(' . t('Collapse') . ')</a>',
+        drupal_render($image_collapsed),
+        drupal_render($image_extended),
       ),
     );
 
-    // Cycle through each test group and create a row.
-    $rows = array();
-
     // Generate the list of tests arranged by group.
     $groups = simpletest_test_get_all();
     $groups['PHPUnit'] = simpletest_phpunit_get_available_tests();
@@ -93,31 +100,29 @@
 
     foreach ($groups as $group => $tests) {
       $form['tests']['table'][$group] = array(
-        '#collapsed' => TRUE,
         '#attributes' => array('class' => array('simpletest-group')),
       );
 
       // Make the class name safe for output on the page by replacing all
       // non-word/decimal characters with a dash (-).
-      $test_class = strtolower(trim(preg_replace("/[^\w\d]/", "-", $group)));
+      $group_class = 'module-' . strtolower(trim(preg_replace("/[^\w\d]/", "-", $group)));
 
-      // Place-holder for checkboxes to select group of tests.
-      $form['tests']['table'][$group]['checkbox'] = array(
+      // Override tableselect column with custom selector for this group.
+      $form['tests']['table'][$group]['select'] = array(
         '#wrapper_attributes' => array(
-          'id' => $test_class,
+          'id' => $group_class,
           'class' => array('simpletest-select-all'),
         ),
       );
 
       // Expand/collapse image and group title.
       $form['tests']['table'][$group]['title'] = array(
-        '#markup' => '<div class="simpletest-image" id="simpletest-test-group-' . $test_class . '"></div>' .
-          '<label for="' . $test_class . '-select-all" class="simpletest-group-label">' . $group . '</label>',
+        '#prefix' => '<div class="simpletest-image" id="simpletest-test-group-' . $group_class . '"></div>',
+        '#markup' => '<label for="' . $group_class . '-select-all" class="simpletest-group-label">' . $group . '</label>',
         '#wrapper_attributes' => array(
           'class' => array('simpletest-group-label'),
         ),
       );
-
       $form['tests']['table'][$group]['description'] = array(
         '#markup' => '&nbsp;',
         '#wrapper_attributes' => array(
@@ -127,65 +132,60 @@
 
       // Add individual tests to group.
       $current_js = array(
-        'testClass' => $test_class . '-test',
+        'testClass' => $group_class . '-test',
         'testNames' => array(),
         // imageDirection maps to the 'images' index in the $js array.
         'imageDirection' => 0,
         'clickActive' => FALSE,
       );
 
-      // Sorting $element by children's name attribute instead of by class name.
-      uasort($tests, array($this, 'elementSortByName'));
+      // Sort test classes within group alphabetically by name/label.
+      uasort($tests, function ($a, $b) {
+        return SortArray::sortByKeyString($a, $b, 'name');
+      });
 
       // Cycle through each test within the current group.
       foreach ($tests as $class => $info) {
-        $test_class_id = 'edit-' . drupal_html_id($class);
-        $current_js['testNames'][] = $test_class_id;
-
-        $form['tests']['table'][$test_class_id] = array(
-          '#attributes' => array('class' => array($test_class . '-test', 'js-hide')),
-        );
+        $test_id = drupal_clean_id_identifier($class);
+        $test_checkbox_id = 'edit-' . $test_id . '-select';
+        $current_js['testNames'][] = $test_checkbox_id;
 
-        $form['tests']['table'][$test_class_id]['checkbox'] = array(
-          '#wrapper_attributes' => array(
-            'class' => array('simpletest-test-select'),
-          ),
-          'checkbox' => array(
-            '#type' => 'checkbox',
-            '#title_display' => 'invisible',
-            '#title' => $info['name'],
-            '#attributes' => array(
-              'aria-describedby' => $test_class_id . '--description',
-            ),
-            '#parents' => array($class),
-          ),
+        $form['tests']['table'][$test_id] = array(
+          '#attributes' => array('class' => array($group_class . '-test', 'js-hide')),
         );
-
-        $form['tests']['table'][$test_class_id]['title'] = array(
-          '#markup' => '<label for="' . $test_class_id . '">' . $info['name'] . '</label>',
+        $form['tests']['table'][$test_id]['title'] = array(
+          '#prefix' => '<label for="' . $test_checkbox_id . '">',
+          '#markup' => $info['name'],
+          '#suffix' => '</label>',
           '#wrapper_attributes' => array(
-            'class' => array('simpletest-test-label'),
+            'class' => array('simpletest-test-label', 'table-filter-text-source'),
           ),
         );
-
-        $form['tests']['table'][$test_class_id]['description'] = array(
-          '#markup' => '<div class="description">' . $info['description'] . '</div>',
+        $form['tests']['table'][$test_id]['description'] = array(
+          '#markup' => String::format('@description (@class)', array(
+            '@description' => $info['description'],
+            '@class' => $class,
+          )),
           '#wrapper_attributes' => array(
-            'class' => array('simpletest-test-description'),
+            'class' => array('simpletest-test-description', 'table-filter-text-source'),
           ),
         );
       }
 
-      $js['simpletest-test-group-' . $test_class] = $current_js;
+      $js['simpletest-test-group-' . $group_class] = $current_js;
     }
 
     // Add JavaScript array of settings.
-    drupal_add_js(array('simpleTest' => $js), 'setting');
+    $form['tests']['table']['#attached']['js'][] = array(
+      'type' => 'setting',
+      'data' => array('simpleTest' => $js),
+    );
 
     // Action buttons.
     $form['tests']['op'] = array(
       '#type' => 'submit',
       '#value' => $this->t('Run tests'),
+      '#tableselect' => TRUE,
     );
     $form['clean'] = array(
       '#type' => 'fieldset',
@@ -202,21 +202,6 @@
   }
 
   /**
-   * Sorts a structured array by 'name' property.
-   *
-   * @param $a
-   *   First item for comparison. The compared items should be associative arrays
-   *   that optionally include a 'name' key.
-   * @param $b
-   *   Second item for comparison.
-   */
-  private function elementSortByName($a, $b) {
-    $a_name = (is_array($a) && isset($a['name'])) ? $a['name'] : '';
-    $b_name = (is_array($b) && isset($b['name'])) ? $b['name'] : '';
-    return strnatcasecmp($a_name, $b_name);
-  }
-
-  /**
    * {@inheritdoc}
    */
   public function submitForm(array &$form, array &$form_state) {