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We study Shimura (special) subvarieties in the moduli space $A_{p,D}$ ofcomplex abelian varieties of dimension $p$ and polarization type $D$. Thesesubvarieties arise from families of covers compatible with a fixed group actionon the base curve such that the quotient of the base curve by the group isisomorphic to $\mathbb{P}^1$. We give a criterion for the image of thesefamilies under the Prym map to be a special subvariety and, using computeralgebra, obtain 210 Shimura subvarieties contained in the Prym locus.

Shimura subvarieties in the Prym locus of ramified Galois coverings