Ebook: E6 unification model building. III. Clebsch-Gordan coefficients in E6 tensor products of the 27 with higher dimensional representations

E6 is an attractive group for unification model building. However, the complexityof a rank 6 group makes it nontrivial to write down the structure of higher dimensionaloperators in an E6 theory in terms of the states labeled by quantum numbersof the standard model gauge group. In this paper, we show the results of ourcomputation of the Clebsch-Gordan coefficients for the products of the 27 withirreducible representations of higher dimensionality: 78, 351, 3518, 351, and 3518.Application of these results to E6 model building involving higher dimensionaloperators is straightforward