In this paper, cluster synchronization of fractional-order complex community networks (FOCCNs) in quaternion-valued filed is addressed based on the non-separation approach. To carry out tasks with different requirements, quaternion-valued FOCCNs are divided into several clusters, each of which owns different dynamic behaviors. Considering the interaction of nodes in the cluster and the influence of external driving, a hybrid controller is designed, in which the coupling strength and feedback control gains are simultaneously regulated with the evolution of states. To establish the cluster synchronization criteria for the quaternion-valued FOCCNs, some analytical approaches, such as the mean value theorem and the proof by contradiction are utilized. Furthermore, for the asymptotical synchronization of fractional-order complex networks, the case with identical nodes is also considered as a special case. Finally, two quaternion-valued FOCCNs are divided to synchronize to the desired trajectory, and a numerical simulation shows the validity of the proposed approach.