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In this article we determine the number of isotopic classes of transversalsof a subgroup of order 2 in $ D_{2n}$ ($n$ is a positive odd integer greaterthan 1), where isotopism classes are formed with respect to the induced rightloop structures. We also determine the cyclic index of the Affine groupAff$(1,p^{2})$, where $p$ is an odd prime.

Isotopic classes of transversals in Dihedral group $ D_{2n} $, $n$ odd