How can i get groups to which user is group manager in og and profile2?

Question

I am using profile 2 and Organic Groups module on my site . I just need to know what should I put in query to get the group ids to which user is manager. Using this query i am getting the group ids of groups to which user is member.

  $result = $query
    ->entityCondition('entity_type', 'og_membership')
    ->propertyCondition('entity_type', 'user')
    ->propertyCondition('etid', $account->uid)
    ->propertyCondition('state', OG_STATE_ACTIVE)
    ->execute();

what should i put instead of og_membership to get the ids of groups user is manager to.