Smoothaired Dachshund 
Short smooth and shining. Should be neither too long nor too thick. Ears not leathery. 

For some examples of Smoothaired Dachshunds:

See Seymore            See Mase                    See Beagle
 

Wirehaired Dachshunds 
With the exception of jaw, eyebrows, and ears, the whole body is covered with a uniform tight, short, thick, rough, hard, outer coat but with finer, somewhat softer, shorter hairs (undercoat) everywhere distributed between the coarser hairs. The absence of an undercoat is a fault. The distinctive facial furnishings include a beard and eyebrows. On the ears the hair is shorter than on the body, almost smooth. The general arrangement of the hair is such that the wirehaired Dachshund, when viewed from a distance, resembles the smooth. Any sort of soft hair in the outercoat, wherever found on the body, especially on the top of the head, is a fault. The same is true of long, curly, or wavy hair, or hair that sticks out irregularly in all directions. 

For some examples of Wirehaired Dachshunds:

See Wee Wee           See Panda           See Wheaties
 
 

Longhaired Dachshund 
The sleek, glistening, often slightly wavy hair is longer under the neck and on forechest, the underside of the body, the ears and behind the legs. The coat gives the dog an elegant appearance. Short hair on the ear is not desirable. Too profuse a coat which masks type, equally long hair over the whole body, a curly coat, or a pronounced parting on the back are faults. Tail-Carried gracefully in prolongation of the spine; the hair attains its greatest length here and forms a veritable flag. 

For some examples of Longhaired Dachshunds:

See Tiger Lily         See Maggie                   See Silky Pie