Spin-2 Particles & Representations of SO(3)

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What type of particles do representations of so(3) other than j=1/2 or j=1 correspond to?

For j=1/2 with have spin-half particles, for j=1 with have spin-one particles. So for j=3/2 and j=2, do we get particles with spin-3/2 and spin-2? I remember reading somewhere that spin-2 particles like the graviton must be described by a traceless symmetric tensor.

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