Abstract: With reductionism and holism, the general thought for dealing with complexity of warfare is disassembling and combination. Based on general process for macro command and control (C2), classic characteristics in the disassembled complex problem of combat system of systems are analyzed, which are multi-domain, simultaneity, asynchronous and conflict. The kernel framework of C2 exercise for combat system of systems is built on these characteristics. Aiming at stabilization of macro system of systems, types of conflict and means of coordination are analyzed. The model of coordinate conflicts is advanced on multi-domain multi-loop and asynchronous running with macro combat system of systems. As an instance, American naval aircraft carrier strike group is dissected. The model of coordination for conflicts is applied to interpret the scientificity of C2 relationship on American naval aircraft carrier strike group. In view of the model of coordinate conflicts, the guides for macro combat system of systems are brought out.