Groups fighting the US occupation of Iraq:
Fedayeen Saddam ("Saddam's Men of Sacrifice")
The Return (al-Awda)
General Command of the Armed Forces, Resistance and Liberation in Iraq
New Return
Patriotic Front
Political Media Organ of the Ba‘ath Party (Jihaz al-Iilam al-Siasi lil hizb al-Baath)
Popular Resistance for the Liberation of Iraq
Al-Abud Network
Islamic Army in Iraq (Al-Jaish Al-Islami fil-Iraq)
Jaish al-Mujahideen
Mujahideen Battalions of the Salafi Group of Iraq
Islamic Salafist Boy Scout Battalions (Kataab Ashbal Al Islam Al Salafi)
Mohammad's Army (aka Jeish Muhammad)
Nasserites
Islamic State of Iraq (till Nov '06, Mujahideen Shura Council)
Umbrella organization of at least eight Sunni Islamist groups: o Al Qaeda in Iraq o Jeish al-Fatiheen (Conquering Army)
o Jund al-Sahaba (Soldiers of the Prophet Muhammad)
o Katbiyan Ansar Al-Tawhid wal Sunnah (Brigades of Monotheism and Religious Conservatism)
o Jeish al-Taiifa al-Mansoura (Army of the Victorious Sect)
o Monotheism Supporters Brigades
o Saray al-Jihad Group
o al-Ghuraba Brigades
o al-Ahwal Brigades
Jama'at al-Tawhid wal-Jihad
Jamaat Ansar al-Sunna (formerly Jaish Ansar al-Sunna)
Black Banner Organization (ar-Rayat as-Sawda)
Asaeb Ahl el-Iraq (Factions of the People of Iraq)
Wakefulness and Holy War
Abu Theeb's group
Jaish Abi Baker's group
Mahdi Army (Jaish-i-Mahdi)(جيش المهدي )
Abu Deraa's Mahdi Army faction
Badr Organization (originally Badr Brigade/Bader Corps) (منظمة بدر )
Soldiers of Heaven
Iraqi National Islamic Resistance (Moqawama al-Islamiya al-Wataniya, "1920 Revolution Brigades")
Islamic Resistance Movement (Harakat Al-Moqawama Al-Islamiya)
Jaish al-Rashideen
Muslim Brotherhood
Islamic Front for the Iraqi Resistance (al-Jabha al-Islamiya lil-Moqawama al-Iraqiya - JAMI)
HAMAS of Iraq
Just how many members does al-Qaeda of Iraq have? According to Wikipedia, "850 to several thousand", out of 24 million. A tiny piece of the puzzle.
I think they just want us the hell out of their country.
http://en.wikipedia.org/wiki/Islamic_State_of_Iraq