The $D_\pi$ property of finite groups in the case $2\notin\pi$

The characterization of finite simple groups with the $D_\pi$ propert for any set $\pi$ of odd prime numbers is completed. It was proved earlier that a finite group has the $D_\pi$ property if and only if each of its composition factors has this property, hence the results of the paper provide an exhaustive characterization of the $D_\pi$ property for all finite groups with known composition factors in the case $2\notin\pi$.