  We consider low dimensional diffuse Bieberbach groups. In particular we
classify diffuse Bieberbach groups up to dimension 6. We also answer a question
from [S. Kionke, J. Raimbault, On geometric aspects of diffuse groups, Doc.
Math. 21 (2016), page 887] about minimal dimension of a non-diffuse Bieberbach
group which does not contain three-dimensional Hantzsche-Wendt group.
