Method for establishing a connection (5, 10) between a mobile radio user (1) initiating the establishment (5-10) of the connection (5, 10) and further mobile radio users (18, 19) of a group of mobile radio users via at least one mobile radio network (11, 12, 2, 13, 14, 15, 26, 16, 17), with useful data to be transmitted between the mobile radio user (1) initiating establishment of the connection and further members (18, 19) of the group also being transmitted in addition to signaling data (6) via a first channel (5) on establishment of the connection, until a second channel (10) is also established for the connection (5, 10), whereupon the user data is transmitted via the second channel (10).