In  all d.g. nearrings definable on the dihedral groups on an even number of points have been characterized. For the group this predicts 20 isomorphism classes, whereas 24 have been found using a computer search. A detailed report on this is forthcoming ().
In addition, a lot of misprints and errors in the frequently used tables in the appendix of  have been found, and a computer-generated fix is reported in . In the future,  should replace (and considerably extend) these tables.