Juan Cole has worked out some numbers for seats by party:
- United Iraqi Alliance (Shiite): 133 seats
- Kurdish Alliance: 71
- Iraqiya (Allawi = Secular Shiites) 38
- Iraqiyyun (al-Yawir= Sunni Arabs) 5
- Turkmen Front of Iraq 3
- Cadres and the Chosen (Sadrist Shiites) 3
- People’s Union (Communist) 3
- Kurdish Islamic Coalition 2
- Organization of Islamic Action (Shiite) 2
- Democratic National Alliance (Abd Faisal Ahmad) 1
- National Mesopotamian List (Christian) 1
- Welfare and Liberation Bloc (Mash’an al-Juburi, Sunni) 1
- Caucus for Iraqi National Unity (Nahru Muhammad Abdul Karim, Sunni) 1
- Independent Democrats (Adnan Pachachi, Sunni) 1
- Iraqi Islamic Party (Muhsin Abdul Hamid, Sunni; had withdrawn) 1
- Islamic Dawa Movement (splinter of Dawa, headed by Adil Majid) 1
- Iraqi National Caucus (Husain Muhammad Abdullah) 1
- Constitutional Monarchy Movement (Sharif Ali b. Husain) 1
- Royal Iraqi Hashimi Caucus (Sharif Ma’mul al-Naysan) 1
- National Democratic Alliance (Malik Duhan al-Hasan) 1
- Democratic Iraqi Caucus (Ahmad Jabir Abdullah) 1
- National Front for Iraqi Unity 1
See his post here for the details of how it works out.