In this paper, we discuss a hierarchical group protocol aiming at reducing communication and computation overheads for supporting a scalable group of cooperrating peer processes. A traditional hierarchical group is composed of subgroups where each subgroup communicates with another subgroup through a gateway process. A gateway process implies performance bottleneck and a single point of failure since every message passes the gateway process. 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 a striping multi-channel inter-subgroup communication protocol for realizing high-performance multimedia communication among large number of peer processes. We evaluate the striping multi-channel inter-subgroup communication protocol in terms of stability of bandwidth.