Their mission is to further unify nations, but their ideals and tactics are a facade of oppression, causing destruction to any nation that doesn't submit to the ESF. This information has been kept secret from the public, but those who knew the truth and rebelled created Katharon.
Granted special powers by the Federation government, the A-Laws have near total authority over all of the Federation's operations. This enables them to reprimand senior regular army officers, regardless of rank. Also, there are officers who are licensed, who can do whatever they please. The total number of mobile suits under their division is 100 units of GN-X IIIs and Aheads although they have complete control of the Federation Army who possess more than 1000 GN-X III's in total.
Also, A-Laws have GNX-704T Ahead which was usually reserved for commanders, team leaders, officers of at least First Lieutenant, and several elite pilots like Mr. Bushido. The Ahead would be used heavily to combat Katharon mobile suits in space and on the Earth. And it is always Ahead mobile suits that led attacks against Celestial Being and the Gundams, in the absence of the licensed officers and their more advanced mobile suits. A-Laws did made of GNX-612T/AA Superbia GN-X which is piloted by A-LAWS members, or licensors with special permissions. Although it participated in many missions, most of its records are considered secret, and the details are unclear.
Though their missions is to implore other nations to join the Federation, the A-Laws are oppressive in their tactics. The slaughter innocents in large masses without warning, place anyone suspected of being affiliated with resistance cells in prison or on high gravity blocks for slave labour. Also, they misuse GN particles to destroy the economy of the Middle East, but the disadvantage of this is that they can't locate Kataron bases. They go as far as firing the superweapon Memento Mori on an entire city. After the A-LAWS' atrocities were exposed with help from Veda, a newly elected Federation president disbands the A-LAWS. When Setsuna was testing the 00 Gundam when it was later salvaged. Unexpectedly, Setsuna/00 Seven Sword G encountered an A-Laws GNX-III unit. It is possible that some remnants of A-Laws units had refused to disband, so the unit was deemed a threat and defeated.