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Warning:  there is an error in this article.
In Observation 4.8, page 16th of the article (164 in the Journal), we mistakenly used
Remark 4.7 to obtain that  $f(+Ze_i)$ must be contained in a certain sublattice.
This error lead us to conclude that there are exactly 126 Five dimensional Bieberbach
groups with holonomy group isomorphic to $Z_2+Z_2$, while the correct number
seems to be 121.  I thank Carlos Frederico Cid, who awared us of this problem.
He took part of the team working on the great program CARAT, developed in Aachen, Germany
(see [Cid, C.; Schulz, T.] Computation of Five and Six dimensional Bieberbach groups.
Experiment Math. 10 (2001), 109–115).
I strongly suggest you to visit the very helpful web-page containing this classification:
 http://wwwb.math.rwth-aachen.de/carat/bieberbach.html
Here you will find these 121 groups, as well as many others!