  We consider a jump-diffusion mean field control problem with regime switching
in the state dynamics. The corresponding value function is characterized as the
unique viscosity solution of a HJB master equation on the space of probability
measures. Using this characterization, we prove that the value function, which
is not regular, is the limit of a finite agent centralized optimal control
problem as the number of agents go to infinity, with an explicit convergence
rate. Assuming in addition that the value function is smooth, we establish a
quantitative propagation of chaos result for the optimal trajectory of agent
states.
