Abstract

We obtain a complete description of the integer group determinants for $\mathrm{SmallGroup}<!--FUNCTION\; APPLICATION-->(16,13)$, the central product of the dihedral group of order 8 and cyclic group of order 4.

These values are the same as the integer group determinants for $\mathrm{SmallGroup}<!--FUNCTION\; APPLICATION-->(16,11)$, the direct product of the dihedral group of order 8 and cyclic group of order 2. It was not previously known that the integer group determinants do not determine the group.

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