The Romans did all the torture and execution.
At the behest of the Jews.
At one point the phrase “I find no fault with this man” was uttered, and the sentence was to whip and release Jesus. The Jews cried CRUCIFY HIM. Again the Jews were given a choice between Jesus and a Murderer, set one free. The Jews cried FREE Barrabas. It is pretty clear that the “church heirarchy” wanted Jesus dead. The Romans simply carried out their request.
Words of St Peter the Jewish fisherman..
22 Ye men of Israel, hear these words; Jesus of Nazareth, a man approved of God among you by miracles and wonders and signs, which God did by him in the midst of you, as ye yourselves also know:
23 Him, being delivered by the determinate counsel and foreknowledge of God, ye have taken, and by wicked hands have crucified and slain:
How the ancient Hebrews treated their own Prophets...
King James Bible
They were stoned, they were sawn asunder, were tempted, were slain with the sword: they wandered about in sheepskins and goatskins; being destitute, afflicted, tormented;