I had a cat back in 1995 and then got 2 dachshunds in 1997. Both of these two dachshunds accepted the cat and had no problem.
However, then after they all passed away in 2014 I then got another 2 dachshunds in 2015. The female doesn't mind other cats/dogs but the male does not like any other cats or dogs. So I never bothered to get another cat as this new male dachshund would not accept a cat. So I guess it depends on the personality of the dachshunds where some might not mind and others would.