In addition, there are parties representing groups with varying degrees of religiosity, ranging from entirely secular to so-religious-as-to-be-interested-in-nothing-else. Then there is the Ashkenazi vs. Sephardic split, as well as parties catering to recent immigrants from Russia, etc. It's very complicated; I suppose the possible combinations might total in the hundreds. All governments are multi-party coalitions.
Go here for an insight into current Israeli politics at the International Relations and Security Network website. Hat tip to RealClearWorld for the link.