  Peres lattices are employed as a visual method to identify the presence of
chaos in different regions of the energy spectra in the Dicke model. The
coexistence of regular and chaotic regions can be clearly observed for certain
energy regions, even if the coupling constant is smaller than the critical
value to reach superradiance. It also exhibits the presence of two
Excited-State Quantum Phase Transitions, a static and a dynamic one. The
diagonalization is performed in a extended bosonic coherent basis which enable
us to reach a large number of excited states with good numerical convergence.
