Miller–Vissuet's MSTD–MDTS conjecture for dihedral groups

Let $n\geq 3$ be an integer, and let

$$D_{2n}:=\langle r,s:r^n=s^2=1,\ r^{-1}s=sr\rangle$$

be the dihedral group of order $2n$. An MSTD subset is a subset with more distinct pairwise sums than distinct pairwise differences, while an MDTS subset has more distinct pairwise differences than distinct pairwise sums. Miller–Vissuet's conjecture. There are more MSTD subsets of $D_{2n}$ than MDTS subsets of $D_{2n}$. This conjecture concerns the prevalence of sum-dominant and difference-dominant subsets in finite non-abelian groups and was proposed on the basis of theoretical and computational evidence; its status is not resolved in the supplied source.