To elaborate, the twenty-year period of war 1794-1815 witnessed several periods of real problems for the French and their armies. At the beginning, France like most European countries had a relatively small but well-trained professional army; with the coming of the Revolution 1n 1789 there was a huge influx of volunteers - later replaced by essentially draftees - who were enthusiastic but untrained and incapable of making even simple battlefield maneuvers. (This was not unlike the problem Irvin McDowell faced at Bull Run in '61.) To simplify what was a complicated series of trials and decisions, French commanders decided to "bracket" the new volunteer battalions with Regular ones in a 2-1 formation called a
demi-brigade. (Two volunteer plus one regular.) The intent was that the regular battalion would provide a stiffening of training while the volunteers would infuse the Regulars with necessary
civisme or patriotic and morale-building energy. (As an aside I'll mention this was the first real patriotic upheaval in modern European history and gave rise to the idea of the modern nation-state with its huge armies that were the norm by WWI.)
The volunteers were incapable of performing the evolutions necessary so were usually deployed either in column OR in line but were incapable of quickly or easily forming from one into the other. Their best "tactic" evolved into a swarm that might if lucky rush forward like a mob and overwhelm their opponents. In practice this didn't work out so well: a well-trained opponent would simply blow them away before they could reach them, or even if they did, this mob was now vulnerable to a counter attack and unable to reform to receive one, scampering away instead. Again simplifying the process, this was somewhat solved by having the demi-brigades and divisions made of them formed into what was known as
order mixte or "mixed order" whereby one battalion would be in line for firing; the next in column for assault; another in line; another in column; etc.; etc. This could be varied at the division commander's pleasure, say one or two battalions in line on both flanks with two or more battalions in column in the center for making an assault. This might even consist of several battalions in column one behind another for a really heavy assault. (As far as I remember, nothing this complicated was attempted during the Civil War; Hancock's dawn assault on the Mule Shoe at Spotsylvania was more like the center columns just described.)
Order mixte seems to have been favored by many generals by the time of the Empire ca. 1804.
Napoleonic commanders often chose the exact nature of their attacks - the Emperor usually left the details to them, for good or ill. Marshal Macdonald famously formed his division at Wagram into a sort of
hollow square two or more brigades (demi-brigades were a thing of the past by then) across in front and others in column on the flanks followed by another in line across the base of the formation. This was at least in part because he didn't trust his men in a looser formation and thought that although they would suffer horribly from Austrian artillery fire the formation would keep them together for the assault. Unfortunately it failed to achieve the object at which it was aimed but allowed the French on either flank to recover from the surprise attack that had prompted the action:
Note Macdonald's "square" in the center of the map, moving to the left - nobody on either side attempted anything as radical as this during the Civil War!