2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119132In this note we give an example of affine quotient $G/H$ where $G$ is an affine algebraic group over an algebraically closed field of characteristic 0 and $H$ is a unipotent subgroup not contained in the unipotent radical of $G$. Some remarks about symmetric algebras of centralizers of nilpotent elements in simple Lie algebras, in particular cases, are added.23 pages - from page 15 to 22 are presented programs for calculationGroup Theory14A10, 14R25, 17B20, 22E20, 22E46, 22E60text