  We show that all countable subsets of any pseudocompact quasitopological
group in the form of a Korovin orbit are closed, discrete, and
$C^\ast$-embedded. Consequently, any infinite pseudocompact Korovin orbit is
not homeomorphic to a topological group. Moreover, infinite pseudocompact
Korovin orbits are not homeomorphic to any Mal'tsev space.
