We report on transport signatures of eight distinct bubble phases in the N=3 Landau level of an AlxGa1-xAs/Al0.24Ga0.76As quantum well with x=0.0015. These phases occur near partial filling factors ν≈0.2(0.8) and ν≈0.3(0.7) and have M=2 and M=3 electrons (holes) per bubble, respectively. We speculate that a small amount of alloy disorder in our sample helps to distinguish these broken symmetry states in low-temperature transport measurements.