Transmatter Team Travelling Tales: Across Space and Time

After a tale wherein the Justice League and Justice Society were recruited to aid Earth-S' Squadron of Justice on all three Earths, where the Cubes were unnecessary, the next meeting between these twin teams involved pursuing the sinister Psycho-Pirate across the Multiverse.

The Pirate had used undisclosed means to travel to Earth-One, where he created a secret base that would later be used by his allies in the Secret Society of Super-Villains in the hills outside of Metropolis. Having mentally controlled both Green Lantern and the Flash, which he used as paws against their teammates, the trio escaped the Justice Socity on Earth-Two to his mountainous retreat. Presumably using their own Transmatter Cube, the remaining  Justice Society members followed both Pirate and his pawns, capturing Psycho and helping Flash and the Lantern to recover their sanity.

Needing a way to return to Earth-Two, the Society transported to the League's satallite headquarters with their immobilized adversary. While not intending to stay for a prolonged visit, the Society were kept detained on the satellite when Leaguer Green Arrow disabled the Cube's controls, wanting his extra-dimensional pals stay for an inpromptu party. 

This event never ended up happening, as the sinister Mordru grabbed all the Leaguers present as well as all the Society there except for Wildcat and Star-Spangled Kid, who were left to tend to the Pirate until the twin teams returned.

While this tale ended in triumph, the next involving the Transmatter Cube would sadly end in tragedy...