2 problems

Ito's conjecture. The group $Q_{8t}$ contains such a relative difference set for all positive integers $t$.

Let $m\geq 2$ be an integer. For each $n\geq 3$, let $\mathrm{Dic}_{4n}$ be the dicyclic group of order $4n$, and let $\mathrm{S}_{\mathrm{Dic}_{4n}}(m)$ denote the number of MSTD…