  Let $G$ be a smooth connected linear algebraic group and $X$ be a $G$-torsor.
Totaro asked: if $X$ admits a zero-cycle of degree $d \geq 1$, then does $X$
have a closed \'etale point of degree dividing $d$? While the literature
contains affirmative answers in some special cases, we give an example to show
that the answer is negative in general.
