α-cluster excited states in 32 S are investigated with an extended 28 Si+α cluster model, in which the 28 Si core deformation and rotation, and the α-cluster breaking are incorporated. In the GCM calculation with the extended 28 Si+α cluster model, the α-cluster excited states are obtained near the 28 Si+α threshold energy. The 28 Si core deformation and rotation effects, and also the α-clusters breaking in the 28 Si+α system are discussed. It is found that the rotation of the oblately deformed 28 Si core gives a significant effect to the α-cluster excited states whereas the α-cluster breaking gives only a minor effect.