Herman Cain, dogged for the last two weeks by allegations that he sexually harassed four women while he was at the National Restaurant Association, is still riding high in the polls, despite what many see as a badly botched response to the accusations.

Former Speaker of the House Newt Gingrich, former Massachusetts Gov. Mitt Romney and former CEO of Godfather's Pizza Herman Cain look on prior to a debate hosted by CNBC and the Michigan Republican Party at Oakland University on November 9, 2011 in Rochester, Michigan. (Scott Olson/GETTY IMAGES)

According to a new CBS poll, Cain grabbed 18 percent of the vote, with Romney and Gingrich in a tie with 15 percent. Some 17 percent of likely Republican primary voters are still undecided, suggesting that the top three candidates still have work to do in solidifying support.

While 61 percent of Republican primary voters say that the allegations surrounding Cain won’t be a factor when they go to the voting booth, some 30 percent say the accusations make it less likely that they would support the former CEO of Godfather’s Pizza. And there is other bad news for Cain. His support among women has drastically dropped off since the allegations surfaced.

Here is what the surve, taken from Nov. 6 to 11, found:

Cain has lost support among women since late October. Then, he led among women, garnering 28% of their support. Now, his support among women is just 15%.

He has also lost ground with conservatives, from 30% to 23% now. And there has been some movement among Tea Party supporters as well; their support for Cain has declined from 32% to 19%. Romney has lost support among men, while Gingrich’s support among that group has increased 8 points.