The Maximums were a team of super heroes from a different reality with a more radical and violent attitude towards crime. Their lives would take a twist when one of their members, Skyscraper, was killed by alternate/altered versions of Superman and Batman. Determined to capture both evildoers, the Maximums made a deal with they believed to be the ghost of one of another deceased member, the Bowman.
What they didn't know was they and their world were creations of Mr. Mxyzptlk, as part of a scheme to free Bat-mite from the body of the Joker. After revealing their true identities, the Maximums were erased from reality.
Aside from Batman and Superman the team battled the Axis of Evil ( Masters of Evil)- which includes the previously mentioned Rapier, the seductress Godiva (Enchantress), Demise ( Grim Reaper), an incarnation of death and Annihilate (Blastaar), who claimed to be a king in his own dimension.
The teams spends a lot of time fighting with itself. Also, Halloween ( Green Goblin) is the arch-enemy of Bug,