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In the latest PrestaShop this could be nicely regulated by selecting positions for the Attributes and Attribute Groups.

The front office then shows the attributes according to their positions.  

To fix this in admin I added the following to the classes/Product.php : first query of getAttributesResume

diff Product.php.modified Product.php
2323,2325d2322
<                 LEFT JOIN `' . _DB_PREFIX_ . 'product_attribute_combination` pac ON pac.`id_product_attribute`=pa.`id_product_attribute`
<                 LEFT JOIN `' . _DB_PREFIX_ . 'attribute` a ON a.`id_attribute` = pac.`id_attribute`
<                 LEFT JOIN `' . _DB_PREFIX_ . 'attribute_group` ag ON ag.`id_attribute_group` = a.`id_attribute_group`
2327,2329c2324
<                 GROUP BY pa.`id_product_attribute`
<                 ORDER BY ag.`position`,a.`position`
<         ');
---
>                 GROUP BY pa.`id_product_attribute`');