Earth-Three's Super-Woman was a renegade Amazon who left Paradise Island of her own accord and joined the Crime Syndicate of America, a team that used their power to virtually conquer the world.
After this, Super-Woman and her fellow Crime Syndicate members challenged the combined forces of the Earth-One Justice League of America and Earth-Two Justice Society of America. Not able to withstand the combined mights of two Earths' greatest super-beings, the Crime Syndicate was defeated and imprisoned in an extra-dimensional bubble created by the Earth-One Green Lantern.
A cycle of escape and imprisonment continued until the Crisis on Infinite Earths when Super-Woman - along with everyone else in Earth-Three's universe - died and was completely erased from history with the reset of the single surviving universe, except for Superman of Earth-Two and Alexander Luthor Junior who remembered this Super-Woman and her native world.
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