  The Darboux transformation of the three-component coupled derivative
nonlinear Schr\"{o}dinger equations is constructed, based on the special vector
solution elaborately generated from the corresponding Lax pair, various
interactions of localized waves are derived. Here, we focus on the higher-order
interactional solutions among higher-order rogue waves (RWs), multi-soliton and
multi-breather. Instead of considering various arrangements among the three
components $q_1$, $q_2$ and $q_3$, we define the same combination as the same
type solution. Based on our method, these interactional solutions are
completely classified into six types among these three components $q_1$, $q_2$
and $q_3$. In these six types interactional solutions, there are four mixed
interactions of localized waves in three different components. In particular,
the free parameters $\alpha$ and $\beta$ paly an important role in dynamics
structures of the interactional solutions, for example, different nonlinear
localized waves merge with each other by increasing the absolute values of
$\alpha$ and $\beta$.
