  Divisible design graphs were introduced in 2011 by Haemers, Kharaghani and
Meulenberg. Further, divisible design graphs which can be obtained as Cayley
graphs were recently studied by Kabanov and Shalaginov. In this paper we give
new constructions of divisible design Cayley graphs and classify divisible
design Cayley graphs on $v \le 27$ vertices.
