Abstract:The paper reports the results of a search for pairs of groups of order $n$ that can be placed in the distance $n^2/4$ for the case when $n\in \{16,32\}$. The constructions that are used are of the general character and some of their properties are discussed as well.
Keywords: 2-groups, distances of groups
AMS Subject Classification: Primary 20D60; Secondary 05B15