This article constitutes the second part of a report on the matrix model for the study of small groups. It considers implications of the model and its translation into operational terms, and provides theoretical foundations for empirical categorization of group process manifest in personalty, social, subsystems, and cultural subsystems. Primary group tasks addressed are identity formation, modes of relating, and reality adaptation. The works of Erik son, Bion, Jung, and Piaget provide theoretical starting points
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