  Spectropolarimetric observations have been used to map stellar magnetic
fields, many of which display strong bands of azimuthal fields that are
toroidal. A number of explanations have been proposed to explain how such
fields might be generated though none are definitive. In this paper, we examine
the toroidal fields of a sample of 55 stars with magnetic maps, with masses in
the range 0.1-1.5$\,{\rm M}_\odot$. We find that the energy contained in
toroidal fields has a power law dependence on the energy contained in poloidal
fields. However the power index is not constant across our sample, with stars
less and more massive than 0.5$\,{\rm M}_\odot$ having power indices of
0.72$\pm$0.08 and 1.25$\pm$0.06 respectively. There is some evidence that these
two power laws correspond to stars in the saturated and unsaturated regimes of
the rotation-activity relation. Additionally, our sample shows that strong
toroidal fields must be generated axisymmetrically. The latitudes at which
these bands appear depend on the stellar rotation period with fast rotators
displaying higher latitude bands than slow rotators. The results in this paper
present new constraints for future dynamo studies.
