Error related to only_full_group_by when executing a query in MySql

I have upgraded my system and have installed MySql 5.7.9 with php for a web application I am working on. I have a query that is dynamically created, and when run in older versions of MySql it works fine. Since upgrading to 5.7 I get this error:\

This is the query that is giving me difficulty:
*SELECT mod_users_groups.group_id AS 'value',
group_name AS 'text'
FROM mod_users_groups
LEFT JOIN mod_users_data ON mod_users_groups.group_id = mod_users_data.group_id
WHERE mod_users_groups.active = 1
AND mod_users_groups.department_id = 1
AND mod_users_groups.manage_work_orders = 1
AND group_name != 'root'
AND group_name != 'superuser'
GROUP BY group_name
HAVING COUNT(`user_id`) > 0
ORDER BY group_name

I did some googling on the issue, but I don't understand only_full_group_by enough to figure out what I need to do to fix the query. Can I just turn off the only_full_group_by option, or is there something else I need to do?

Let me know if you need more information.