any character(s) capable of duplicating the 'shrink ray' supergirl used to defeat im, would obviously be able to beat it.
however, in terms of overpowering the beast - i'm not sure what it would take. this monster had a force-field that pre-crisis supergirl couldn't come close to getting through [the ff actually harmed her when she tried to breach it, in fact]. so it'd definitely take a character much more powerful than a pre-crisis kryptonian to harm the monster in a physical manner.