In this paper, a meso-level of computing is added to the four-level model by Whitworth [1]. This meso-level is called group-level computing. It exists between the individual level and society level. The main difference between group-level and society-level of computing is the social tie involved between the members. One function of the social tie is to give a regulation for the interaction between the members. One implication to design and development of systems is that group-level computing will need to consider a group-cognition model, instead of individual cognition model. For the society level, the design should focus on creating a regulation of its member behavior and interaction, since there is no social tie to regulate their interaction.