Green’s Dictionary of Slang

schtarka n.

also schtarker, shtarka, shtarker, shtorikue, starker
[Yid.]
[1950s–70s]

1. a strong, brave man (occas. woman), an important person (esp. used ironically).

2. a thug, a hoodlum.

3. attrib. use of sense 2.