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I read in the book "String Theory and $M$-theory: A Modern Introduction" that the eight components can be decomposed into two irreducible $SU(4)$ representations: $8=4 \otimes \bar{4}$.

Is it correct if I do the same for the six components if they can be decomposed into two irreducible $SU(3)$ representations and write the following decompition $6=3 \otimes \bar{3}$?

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