Here are a few random Factions for your enjoyment

Faction Name
36 Andromedae Corporation
Dominion of HIP 9052
Gwri Flag
Kalveti Autocracy
United LHS 191 Constitution Party
6 Ceti Syndicate
HIP 117883 Network
Union Party of Sadhant
United HIP 98839 Republic Party
People's Tapones Labour Union
Serda Ltd
Karex Dominion
Society of Nox
Chimba Public Industries
V711 Tauri Raiders
Citizen Party of Firey
HIP 94926 Partnership
HIP 53639 Purple Comms Limited
Liberty Party of Tukualang
Argestes for Equality