Which knightly-monastic orders were involved in the aggression?

In the Middle Ages, many historical phenomena appeared, which history did not know before. For example, it was during this period of history that monastic and knightly orders appeared in Europe. It is worth saying that almost all of them arose with the permission of the Catholic Church. There were a huge number of knightly-monastic orders. Many of them were attached to monasteries. But, it should be noted that during the period of the Crusades and a little later, many of them were involved in hostilities, for example, the Teutonic and Bethlehem orders, the Templars, Alcantara and many others.