Abstract
One can remark that the study of twisted fusion algebras for finite groups is closely related to the modular data associated with finite groups. Coste et al. [“Finite group modular data,” Nucl. Phys. B, 521, 679] undergo the study of this finite group modular data and write down the modular S and T matrices of the group G=(Z∕p)3 for a particular twist. Here we show that the modular data of G for a particular twist are the same as the modular data of the extraspecial p-group H of order p3 with exponent p. This result implies that the twisted fusion algebra of G is the same as the nontwisted fusion algebra of H.
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