  A semicommutative finite group scheme is a finite group scheme which can be
obtained from commutative finite group schemes by iterated performing
semidirect products with commutative kernels and taking quotients by normal
subgroups. In this article, for an \'etale tame semicommutative finite group
scheme $G$, we give a lower bound on the number of connected $G$-torsors of
bounded height (such as discriminant).
