The complex vibronic spectra and the nonradiative decay dynamics of the cyclopropane radical cation ( CP+) are simulated theoretically with the aid of a time-dependent wave packet propagation approach using the multireference time-dependent Hartree scheme. The theoretical results are compared with the experimental photoelectron spectrum of cyclopropane. The ground and first excited electronic states of CP+ are of (X) over tilde E-2' and (A) over tilde E-2" type, respectively. Each of these degenerate electronic states undergoes Jahn- Teller ( JT) splitting when the radical cation is distorted along the degenerate vibrational modes of e' symmetry. The JT split components of these two electronic states can also undergo pseudo- Jahn- Teller ( PJT)- type crossings via the vibrational modes of e", a(1)" and a(2)" symmetries. These lead to the possibility of multiple multidimensional conical intersections and highly nonadiabatic nuclear motions in these coupled manifolds of electronic states. In a previous publication [ J. Phys. Chem. A 2004, 108, 2256], we investigated the JT interactions alone in the (X) over tilde E-2' ground electronic manifold of CP+. In the present work, the JT interactions in the (X) over tilde E-2" electronic manifold are treated, and our previous work is extended by considering the coupling between the (X) over tilde E-2 and (A) over tilde E-2" electronic states of CP+. The nuclear dynamics in this coupled manifold of two JT split doubly degenerate electronic states is simulated by considering fourteen active and most relevant vibrational degrees of freedom. The vibronic level spectra and the ultrafast nonradiative decay of the excited cationic states are examined and are related to the highly complex entanglement of electronic and nuclear degrees of freedom in this prototypical molecular system.