We report on cavity polaritons arising from the strong coupling between quantum well excitons and the Fabry—Perot mode of a CdTe-based microcavity at 4 K. The sample, fully grown by molecular beam epitaxy, is a 3λ/2 cavity containing six CdTe quantum wells, embedded in CdMnTe/CdMgTe Bragg reflectors. The wedge-shaped structure of the sample allows the study of a multiple anticrossing between the photon mode and three excitonic levels: E1H1(1s), E1H1(2s) and E1L1(1s). This provides an accurate determination of the oscillator strength for each exciton. Finally, the Rabi splitting for the E1H1(1s) exciton is measured versus temperature up to 270 K.