As of March 2014, Chrysler is not a publicly traded company, so it does not have a stock ticker symbol. It is a wholly owned subsidiary of Fiat. The ticker symbol for Fiat is FIATY.
In 2013 Fiat announced that it was pursuing a public stock offering for its Chrysler subsidiary. The announcement stated that the stock would be listed on the New York Stock Exchange. The ticker symbol planned for that issue is CGC. Chrysler has been a publicly traded company in the past. From 1925 through 1998 it was known as the Chrysler Corporation and was listed under the ticker symbol C. Following its merger with Daimler Benz in 1998, it traded under the ticker symbol DCX until 2007.