wp_nav_menu change sub-menu class name?

Question

Is there a way to change the child

generated by WordPress itself to a custom class name?

I know the parent

Answer 1

Like it always is, after having looked for a long time before writing something to the site, just a minute after I posted here I found my solution.

It thought I'd share it here so someone else can find it.

//Add "parent" class to pages with subpages, change submenu class name, add depth class

    class Prio_Walker extends Walker_Nav_Menu {
    function display_element( $element, &$children_elements, $max_depth, $depth=0, $args, &$output ){
        $GLOBALS['dd_children'] = ( isset($children_elements[$element->ID]) )? 1:0;
        $GLOBALS['dd_depth'] = (int) $depth;
        parent::display_element( $element, $children_elements, $max_depth, $depth, $args, $output );
    }

     function start_lvl(&$output, $depth) {
    $indent = str_repeat("\t", $depth);
    $output .= "\n$indent
\n";
  }
}

add_filter('nav_menu_css_class','add_parent_css',10,2);
function  add_parent_css($classes, $item){
     global  $dd_depth, $dd_children;
     $classes[] = 'depth'.$dd_depth;
     if($dd_children)
         $classes[] = 'parent';
    return $classes;
}

//Add class to parent pages to show they have subpages (only for automatic wp_nav_menu)

function add_parent_class( $css_class, $page, $depth, $args )
{
   if ( ! empty( $args['has_children'] ) )
       $css_class[] = 'parent';
   return $css_class;
}
add_filter( 'page_css_class', 'add_parent_class', 10, 4 );

This is where I found the solution: Solution in WordPress support forum