All data below was computed with
GAP. Data is given for transitive
subgroups of Sn, for various small n.
Suppose F is a field, K is a degree n separable
extension of F, and Kg is a Galois closure
of K/F. Then Gal(Kg/F) is one
of the groups "nTj" below. The T-numbering is standard
for transitive subgroups of Sn and is
Data presented here is sometimes described in group terms, and
sometimes in terms of the fields F, K,
and Kg with the Galois correspondence understood.
For each group, we give