Integer group determinants of order 16.

Let C n and Q n denote the cyclic group and the generalized quaternion group of order n, respectively. We determine all possible values of the integer group determinants of C 8 ⋊ 3 C 2 and Q 8 ⋊ C 2 , which are the unresolved groups of order 16 (Serrano, Paudel and Pinner also obtained a complete description of the integer group determinants of Q 8 ⋊ C 2 independently of this paper and presented it a few days earlier than this paper). Also, we give a diagram of the set inclusion relations between the integer group determinants for all groups of order 16 [ABSTRACT FROM AUTHOR]