Final answer:
The Radical Republicans faction of the Republican Party wanted Reconstruction to punish the former Confederacy, disenfranchise large numbers of Southern whites, and confiscate the property of leading Confederates.
Step-by-step explanation:
The faction of the Republican Party that wanted Reconstruction to punish the former Confederacy, disenfranchise large numbers of Southern whites, and confiscate the property of leading Confederates were the Radical Republicans. They were northern Republicans who disagreed with President Lincoln's lenient treatment of Confederate states and proposed harsher punishments. They sought to bring about significant changes in the South to ensure racial equality and protect the rights of freedmen.