Centralizer algebras of the group associated to ${\mathbb Z}_4$-codes
  The purpose of this paper is to investigate the finite group which appears in the study of the Type II $\mathbf{Z}_4$-codes. To be precise, it is characterized in terms of generators and relations, and we determine the structure of the centralizer algebras of the tensor representations of this group. 
Masashi Kosuda and Manabu Oura
math.RT