In my works of fan-fiction--I have new factions and new societies. I've worked hard on developing symbols for them, where necessary.
There's Botanica's Emblem of Healing, which is used by the Tribe of the Aerie on Biosphere. There are two emblems for Botropolis--both the general society emblem and one for the security forces (like a police badge). Velocitron has a recognizable emblem--as they are known throughout the galaxy, even though their location is secret in the universe. The Torchbearers of my series have their own emblem, the Emblem of Light. The symbol of Caminus has the sun, moon and star(s). And there's also the Destron Army emblem--which is supposed to be a mishmash of the Autobot and Decepticon symbols.