OK, this is just for fun!
Name the faction and their style traits - this is not serious so have some fun!
The Quadratic Faction - Numerically outstanding in battle, economy is complex but runs like a charm. Of interest to the mathematicians only.
The Spaniel Faction - runs around a lot and loads of energy, but easily distracted by a ball or stick. Friends with everyone.
The Oompah Loompahs - small, orange and deadly with their secret weapon, the Wicked Witch of the West
Peoples Liberation Front of Judea - not to be confused with the Peoples Judean Liberation Front - deadly, unless they come across their arch enemies the Peoples Judean Liberation Front!
The Han Solo Faction - completely outgunned, but can do the Kessel Run in under 12 parsecs!
The No Roman Faction - secretly Romans but pretending not to be Romans.