It’s important not to lump Jesuits in with other groups, or discount all Jesuits in history because of the actions of some. Things I heard growing up in Protestant circles may have biased me towards writing off the Jesuits, but a few years ago I read the 21st century book Heroic Leadership which was written by a Jesuit seminarian who took a surprising turn into investment banking and worked his way up to managing dir…
They published a Mandarin translation of Galileo's Starry Messenger and notes on sunspots within about 15 years of Messengers' first publication in Italy. They were successful in converting Japanese by not attempting to replace Japanese culture wholesale. The arrival of the Dominicans, the Dutch, and the end of the civil wars put a bloody stop to that, but their temporary success does demonstrate the efficacy of their methods. They stood up to National Socialism (among many others).
They also tried to defend Catholicism in England (and indeed ministered to cryptocatholics who weren't buying what Henry and Liz were selling). They became a stereotype arch-villain of the English propaganda of the era called the Black Legend. It's largely mixed with the historical truth in the modern popular imagination of the anglosphere by now (viz. Dan Brown) . It alleges that the Spanish were treacherous idolaters, fond of torture and so on. The Spanish indeed were rabid imperialists and religious bigots, but not to a unique degree for the age. The Jesuits were the ones being tortured in England for (religiously) aiding the silenced and powerless.
This tendency hasn't really changed. Liberation theology and its less extreme brethren have largely been products of Jesuit theology. At times it seems like they're among the few Catholics who read whole catechism (there are some surprisingly progressive ideas in it) and don't focus to great excess on sex and abortion.
It is important to remember the failings of the Church too.