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In this paper, we find a certain part of the total order of ramifi cation ofΓ0(N) over its normalizerNor(N) in PSL(2,R) and determine a suitable element of PSL(2, R) which Γ0(N) is conjugate to a subgroup of Nor(M) by this element for some square-free integerM.

A Note on genus problem and conjugation of the normalizer