In this paper, we discuss a hierarchical group protocol aiming at reducing communication and computation supporting for realizing a scalable group. In traditional hierarchical groups, a pair of parent and child subgroups communicate with one another through a gateway process. A gateway process implies performance bottleneck and single point of failure. In order to increase the throughput and reliability of inter-subgroup communication, messages are in parallel transmitted in a striping way through multiple channels between the subgroups. We discuss how to design a hierarchical group for realizing high-performance multimedia communication among large number of peer processes.