Tzipi Livni could not get the ultra-Orthodox Shas party to join the coalition government.
It comes down to welfare payments to Orthodox schnorers† and the status of Jerusalem, though, from what I’ve heard of Shas, my guess is that it was mostly about the welfare payments.
*Benyamin, “The Craziest Motherf%$#er in the Middle East,” Netanyahu
†Beggars or moochers.