By using the structure and some properties of extraspecial and generalized/almost extraspecial \(p\) -groups, we explicitly determine the number of elements of specific orders in such groups. As a consequence, one may find the number of cyclic subgroups of any (generalized/almost) extraspecial group. For a finite group \(G\) , the ratio of the number of cyclic subgroups to the number of subgroups is called the cyclicity degree of \(G\) and is denoted by cdeg \((G)\) . We show that the set containing the cyclicity degrees of all finite groups is dense in \([0, 1]\) . This is equivalent to giving an affirmative answer to the following question posed by Tóth and Tărnăuceanu: “For every \(a\in [0, 1]\) , does there exist a sequence \((G_n)_{n\geq 1}\) of finite groups such that \( \lim_{n\to\infty} \text{cdeg} (G_n)=a\) ?”. We show that such sequences are formed of finite direct products of extraspecial groups of a specific type.
