The Abbaye de Noirlac is located on the territory of the little town of Bruère-Allichamps (pop. 567).
Bruère-Allichamps has one more claim to fame: it was designated in the 1850s by a geographer as the centre géométrique de la France.
If you take a map of France and draw a rectangle around it so that the whole of the country is within it (not counting Corsica), and then draw straight diagonal lines from the upper left corner to the lower right and from the upper right corner to the lower left, the point where those lines cross is within the boundaries of Bruère-Allichamps. I know, because I've done it on my computer in Photoshop.