Other than the HQ there was no set TO/TE for the Group as a whole. I dont have a TO/TE for the HQ at hand here, tho the requirement for mobility and long range communications suggests halftracks, high powered radios, and more communications technicians and officers than usual for regiment or brigade size unit.
Staunton gives the TO/TE of a independant squadron of 1944 as:
Officers…38
Warrant officers…3
Enlisted…702
Arm Car M8…40
75mm Howizter GMC…6
Light tank…17
Halftrack M3…26
Halftrack ambulance…4
Heavy MG…25
Medium MG…54
81mm Mortar…3
60mm mortar…27
SMG…202
Carbine…434
Rifle…90
pistol…3
AT rocket launcer…31
Truck 2.5 ton…18
Jeep…87
service vehicals…6
This was about 20% smaller than the armored cavalry squadron of the Armored divsion which had 52 armored cars, 32 halftracks (combat), & 110 jeeps.
Aside from the two or three armored cav squadrons it was common to attach artillery, tank, tank destroyer, engineer, antiaircraft, or infantry battalions and companys to the Cav Grp for a few days or weeks.
Despite the potiential for glamor and headlines you very seldom see anything written about the armored cavalry. About the only such unit most folk can identify is the 114th AC Grp that was nearly destroyed in the first days of the Ardennes battle.
Untill late 1943 the Armored Cavalry was organized into regiments with a standardized TO/TE. Like the artillery regiments these were disolved into the more flexible group to aid in task organization.