Name: Edgar Reyes Institution:Southeastern Louisiana University Abstract: Let M be the semidirect product group of the additive group of 2-by-2 upper triangular matrices T(n) with integer entries modulo n by the the multiplicative group T*(n) of all invertible matrices in T(n). In this paper, we construct the irreducible representations of M and count the number of 1-dimensional representations of M. Status of Paper: Submitted for publication and is under review.