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In this paper, we add examples to Goeritz groups, the mapping class groups ofgiven Heegaard splittings of 3-manifolds. We focus on a Heegaard splitting ofgenus two of a Seifert manifold whose base orbifold is sphere with threeexceptional points of sufficiently complex coefficients, where "sufficientlycomplex" means that every surgery coefficient p_{l} over q_{l} of eachexceptional fiber (in a surgery description) satisfies that q_{l} is congruentto neither +1 or -1 modulo p_{l}.

The Goeritz group of a Heegaard splitting of genus two of a Seifert  manifold whose base orbifold is sphere with three exceptional points of  sufficiently complex coefficients