The two strongest are: HDZ (Croatian Democratic Union) righties <- GOVERMENT
SDP (Social-Democratic Party) lefties
The current political situation in Croatia
Liberal Party - Croatia - ended in 2006.
Serb Democratic Party - Croatia - ended in 1995.
Serb Democratic Party - Croatia - was created in 1990.
Liberal Party - Croatia - was created on 1998-01-24.
Bosnian Democratic Party of Croatia was created in 2008.
Social Democratic Party of Croatia was created on 1990-11-03.
Party of Democratic Action of Croatia was created on 1990-06-20.
Socialist Labour Party of Croatia was created on 1997-10-25.
No. Dalmatia lies party in Croatia though
Ivo Josipovic, current president of Croatia is agnostic, with liberal views. Maintaining peace and stability in South-Eastern Europe, and Croatia joining European Union are his main goals. Croatian presidents don't have much political power (when compared to other countries, like USA), and the real political power lies in leading party and Prime Minister.
A Party can get registered as a Political Party through Political Party Council. And it can be registered as a political party if the party comply with the set laws for the registration of all political parties