Who are the first 5 Auto Insurance companies?

For 2005, the five largest auto insurance companies, measured by size of direct premiums written, were: State Farm Mutual Group; Allstate Insurance Co. Group; Progressive Casualty Group; National Indemnity Co. Group (Berkshire Hathaway); and Farmers Insurance Group.

(Insurance Information Institute: Facts and Statistics: Auto Insurance -- scroll halfway down the page to "Leading Writers of Private Passenger Auto Insurance by Direct Premiums Written, 2005")

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Dear questioner, I think this will help u,

They are listed here