Evaluating Spin 1 matrices $S_x*S_y$ in terms of $S_+$ and $S_-$ basis

I am a beginner to spin algebra. I am trying to represent $S_x*S_y$ in terms of $S_+$ and $S_-$ basis. What would this representation look like? I know that the Pauli properties for spin 1/2 does not apply to Spin 1 matrices.