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Schur functors
| 2 || 2 || [[symmetric square of a representation|symmetric square]] || <math>d(d + 1)/2</math> || <math>(\chi(g)^2 + \chi(g^2))/2</math> || trivial (dim: 1)|| trivial (dim: 1)|| trivial + standard (dim: 3)
|-
| 2 || 1 + 1 || exterior square or alternating square || <math>d(d - 1)/2</math> || <math>(\chi(g)^2 - \chi(g^2))/2</math> || empty (dim: 0) || empty (dim: 0) || sign (dim: 1)
|-
| 3 || 3 || symmetric cube || <math>d(d + 1)(d + 2)/6</math> || <math>(\chi(g)^3 + 3\chi(g^2)\chi(g) + 2\chi(g^3))/6</math> || trivial || sign || trivial + sign + standard (dim: 4)
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