The first trial of using the symmetry analysis method in modeling of behavior of complex social system is presented in this work. The evacuation of large building scenarios are discuss as transition from chaotic to ordered states, described as movements of individuals according to fields of displacements, calculated correspondingly to given scenario. The symmetry of the evacuation space is taken in to account in calculation of displacements field - the displacements related to every point of this space are presented in the coordinate frame adapted to given symmetry space group. Such description leads to reduction of number of used parameters. The calculated displacements fields are implemented in the simulation procedures, which give the times of evacuation as the function of individuals density and the avarage force acting on the one individual during all time of evacuation as the function of number of evacuated individuals. The results got with using the symmetry consideration a...