Here are some fictional organizations:

Red Infinity: A communist group that will rule the world in about 50 years.

HOLY: A Christain fundamentlist terrorist group.

Rainbow Tree: A gay-rights, environmentalist group that is currently on the rise.

FAE (Final Authority of the Earth): An anti-white, environmentalist terrorist group.

Army of the Higher Lord: A Muslim fundmentalist terrorist group.

Height of Rot: A anarchist group.

Russian Mafia: An organized crime group that plays a large part in organized crime in Europe and Western Asia.

Black Wings: Another organized cime group that hires themselves out as mercenaries. At the moment, they are the largest standing fighting force in the world. They mostly work for Homeland.

Days of New (DON): A nihilist terrorist group.

Mechanized Glory: A socialist terrorist group that focuses on creating war machines.

High Knife Heels (HKH): A feminist terrorist group.

Neo Nazi Party: A nationalist German Socialist Party.

Transparent Skin: A national anarchist group.

New Obejctive: A objectivist group that focuses on bringing down all remaining forms of anti-capitalist movements.

Global Socialist Movement: A poorly organized socialist terrorist group.

El Diablo: A capitalist group that aims to destroy Christianity.

Hand From Above (HFA): A group tolerant of the religious, but intolerant of the non-religious. They accept people of all religions, but assasinate anyone who has no faith.

European Empire Movement (EEM): A strictly European movement that works to restore old European empires around the world.

National Army of Now (NAN): A terrorist organization that is made up completely of clones and androids. They bomb any installation attempting to make it illigal create/produce clones.

I'll add more to this later...