An improved system and procedure for allowing participants within a group conversation on a wireless communication network to at least temporarily break away from a group conversation and hold a side bar conversation. The side bar conversation may comprise several different types, including a public conversation (much like the original group conversation) or may constitute a private conversation (much like a standard phone call) or private text messaging or data exchange. A group conversation user wishing to hold the side bar conversation uses his user interface to alert other group conversation user(s) with whom he would like to hold the side bar conversation. Either the initiating user or the recipient user(s) can recommend the type of side bar conversation to be had using their user interfaces. If the side bar conversation is a voice conversation, the original group conversation can still be audible in the back ground, but can be reduced in volume relative to the side bar conversation or squelched in and out when the side bar conversation is active. If desired, side bar participants can rejoin the original group conversation by selecting such an option from their user interfaces.