Product of 2 irreducible representations is irreducible

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I am trying to find an example of 2 irreducible representations of the symmetric group Sn, and i want to find that the tensor product is irreducible. My example is to find the 3 dim irreducible representation of S4 and the trivial or the parity when tensoring them we obtain an irreducible. I just want another example other than tensoring a representation with the 1 dim or itself because it seems obvious. Any idea?