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Swimming pool in audergham commune
http://bruxelles-piscines-index.blogspot.com/
This is a map of all the pools. THere doesn't seem to be one in auderghem, the closest ones are Sportcity http://www.sportcity-woluwe.be/francais/piscine.html in WSP and Calypso in WMB www.calypso2000.be
If you go to the websites, you'll find the tarifs and the availability of instructors.