Palin is polarizing even within her own party along educational, gender, class and generational lines.
She draws her highest support for president among voters who have not attended college - 27 percent. That's 14 points more than her support among people who attended college - 13 percent. She also has a strong appeal to women, drawing 26 percent of their support, compared to only 12 percent for men.
The split is nearly as large among older and younger voters: 24 percent of voters younger than 50 say they would support her presidential bid, while only 14 percent of those over 50 say they would.
And among those making less than $50,000, her support stands at 25 percent, compared to just 16 percent among those making more.
The CNN poll surveyed 479 Republicans and Republican-leaning independents from Jan. 21-23, with a margin of error of +/- 4.5%.