I dont see suzaku listed in the male set
and likewise dont see thundergod in female set
but females get a pretty butterfly and jade rabbit sets
also interesting page of the
9 Pet Type Pentagram
if you hover over a species the pink arrow means that its weak to whatever is on the other end and the light blue means that its strong against whatever is on the other end
red means that the two are natural enemies
not quite sure what the blue is suppose to be....
the species in clockwise order:
demon beast, sky/fly, underworld/dark, metal, humanoid, poison, wood spirits, elemental, and dragon