Trogg was a prisoner in the Santa Priscan jail where Bane grew up. He was convicted of killing at least fifteen men and his body count rose to double that while imprisoned there. He became one of Bane's trusted associates and escaped with him to Gotham. Trogg asssisted Bane in freeing the Arkham prisoners and wearing down the Batman. Trogg was arrested when he attempted to extort control of the unions from the Dons for Bane. Jean-Paul Valley broke him out of prison to allow him to find, and take down, Bane. Since his rearrest he hasn't been seen.
Trogg generally carries an automatic rifle or other ballistic weapons.
Trogg is very strong and has military training, he is also an adept killer with more than thirty kills to his name, he prefers to kill bare handed.
It is best to stay out of Trogg's reach his strong arms can incapacitate a weakened foe. He should best be handled at a distance.