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We compute and tabulate the Clesbsch--Gordan coefficients of the $SU(6)\supset SU(3) \times SU(2)$ product ${\overline{\bf 56}} \otimes {\bf 56}$,which are relevant to the nonrelativistic spin-flavor symmetry of the lightestbaryons. Under the assumption that the largest representation in this product,the ${\bf 2695}$, gives rise to operators in a chiral expansion that producenumerically small effects, we obtain a set of relations among the masses of thebaryons, as well as among their magnetic dipole and higher multipole moments.We compare the mass relations to experiment, and find numerical predictions forthe $\Sigma^0$-$\Lambda$ mass mixing parameter and eighteen of the twenty-sevenmagnetic moments in the ${\bf 56}$.Comment: 33 pages, latex (aps revtex), no figure

Determination of SU(6) Clebsch-Gordan coefficients and baryon mass and electromagnetic moment relations