Problem when trying to list child categories!

Hi guys,

i need some help at finding a solution to a current problem im having. At the moment i know how to list all subcategories for a given category on it’s category page. For example, if a user is on the ‘sports’ category page, i can list all the sport sub categories by adding the following code:

<?php
$cat_id = get_query_var(‘cat’);

$catlist = wp_list_categories(‘echo=0&orderby=id&title_li=&child_of=’ . $cat_id);

if ($catlist) {
echo $catlist:
} else {
// do your loop stuff
}
?>

Now the problem im having is that this code won’t work when i place it on a child category. For example, if i have a category of brands > Nike > Football, placing the code on the Nike category page does not return a list showing the football category. Does anyone know why this is? Can anyone help in amending the code so that it does work?

Thanks.