If you click on this link: 4th armored division 1944 you will find the full divisional organization of the American 4th Armored Division for September 1944 (the encirclement of Nancy) for Command Decision Test of Battle. There are deviations from the Light Armored Division organization presented in the Command Decision Test of Battle Stars and Stripes book. These are mainly due to deeper research into the organization of American Light Armored Divisions and the unique organization of this division. If you are interested in the organization of an American Light Armored Division in some detail, I highly recommend Yves J. Bellanger’s U.S. Army Armored Division 1943-1945: Organization, Doctrine, Equipment. I got my copy from Amazon.com (see: https://www.amazon.com/U-S-Army-Armored-Division-1943-1945/dp/1445738953/ref=sr_1_2?ie=UTF8&qid=1546982677&sr=8-2&keywords=Yves+J.+Bellanger). I got my copy on sale for less than the $50 price, so keep an eye on the link as Amazon.com does seem to put things on sale now and then.
United States 4th Armored Division (September 1944) for Command Decision Test of Battle