In 1815, many of the 24 Prussian Infantry Brigades had a Major General and a Colonel identified as commanding.
The organization could have something in common with the later American divisions of World War II and Korea.
They had a division commander, a deputy division commander and regimental combat teams (RCT). There was no brigade organization. Each RCT was a self-supporting organization which could include tanks, artillery, combat engineers, mechanized cavalry recon units, signals, etc.
In the 1950's the Pentomic Division was formed breaking down into 5 battlegroups each commanded by a Colonel. These battlegroups were to see the traditional regiment organization eliminated.
Today the American Divisions have identified brigades and units under command which form Brigade Combat Teams.
The Marines use the RCT concept.
Ron