Let G be a finite group and H a subgroup of G. Each left transversal
(with identity) of H in G has a left loop (left quasigroup with identity)
structure induced by the binary operation of G. We say two left transversals
are isomorphic if they are isomorphic with respect to the induced left loop
structures. In this paper, we develop a method to calculate the number of
isomorphism classes of transversals of H in G. Also with the help of this
we calculate the number of non-isomorphic left loops of a given order.Comment: 19 page