It's almost a "supercube" : https://www.speedsolving.com/wiki/index.php/Supercube https://www.speedsolving.com/wiki/index.php/Supercube There's some math in th

It's almost a "supercube" : https://www.speedsolving.com/wiki/index.php/Supercube https://www.speedsolving.com/wiki/index.php/Supercube There's some math in the regular wikipedia entry, not exactly your case but one for all sides requiring the right rotation relative to neighbors, which increases the state space by a factor of 4^6/2, or 2048x. (Edit - I originally naively thought your configuration would increase the space by 16x, but the calculation is more complicated, as some configurations aren't attainable from a given starting arrangement without disassembly. So it would depend on how the two labelled faces were positioned relative to each other (ie, are they in adjacent or opposite faces), and if your definition of a solution only requires the logos to be restored per face but not the same orientation relative to the initial configuration.)