  Superradiant phase transitions play a fundamental role in understanding the
mechanism of collective light-matter interaction at the quantum level. Here we
investigate multiple superradiant phases and phase transitions with different
symmetry-breaking patterns in a two-mode V-type Dicke model. Interestingly, we
show that there exists a quadruple point where one normal phase, one global
symmetry-breaking superradiant phase and two local symmetry-breaking
superradiant phases meet. Such a global phase results from the phase
competition between two local superradiant phases and can not occur in the
standard $\Lambda$- and $\Xi$-type three-level configurations in quantum
optics. Moreover, we exhibit a sequential first-order quantum phase transition
from one local to the global again to the other local superradiant phase. Our
study opens up a perspective of exploring multi-level quantum critical
phenomena with global symmetry breaking.
