Number fields with solvable Galois groups and small Galois root discriminants

We apply class field theory to compute complete tables of number fields with Galois root discriminant less than 8 π e γ 8\pi e^{\gamma } . This includes all solvable Galois groups which appear in degree less than 10 10 , groups of order less than 24 24 , and all dihedral groups D p D_p where p p is prime.