Fraktur is a calligraphic hand and any of several blackletter typefaces derived from this hand. The blackletter lines are broken up – that is, their forms contain many angles when compared to the smooth curves of the Antiqua (common) typefaces modeled after antique Roman square capitals and Carolingian minuscule. From this, Fraktur is sometimes contrasted with the "Latin alphabet" in northern European texts, being sometimes called the "German alphabet", despite simply being a typeface of Latin. Similarly, the term "Fraktur" or "Gothic" is sometimes applied to all of the blackletter typefaces (known in German as Gebrochene Schrift).
Here is the entire alphabet in Fraktur, using the TeX \mathfrak font (see Help: Displaying a formula):
The word derives from the past participle fractus ("broken") of Latin frangere ("to break"); the same root as the English word 'fracture'.
Read more about Fraktur: Characteristics, Origin, Use, Fraktur in Unicode, Samples