  Transiso graph $\Gamma_d(G)$ is defined in for a finite group $G$ and a
divisor $d$ of $|G|$. In the present paper, we have determined some finite
groups $G$ for which the graphs $\Gamma_d(G)$ are complete for each divisor $d$
of $|G|$. We have also discussed the completeness of transiso graphs for the
groups of order less than $32$.
