The 1940 carri L3/33 or L3/35 TOE was this:
-Comando
-Compagnia Comando (HQ coy)(4 off, 71 private/tankers,1 tank, 1 cars,4 trucks,3 motorcicles, 1 shop trucks)
-Compagnia carri (x3) (tank coy) (each /5 off, 90 private/tankers,15 tanks, 1 cars, 2 trucks,3 motorciles)
-Battalion transport squadron (4 private, 93 men,6 trucks, 5 moto)
This was the TOE of the Type 1940 tank battalion for tank infantry units. The three armored cavalry groups of the swift divisions (what you correctly but unconventionally call saints) were instead considered as armored cavalry units and therefore had a different toe and more precisely:
-Command squadron
Motor vehicles
n. 8 cars, no. 2 motorcycles, 1 fast carriage "L"
staff
n. 7 officers, n. 55 non-commissioned officers and soldiers
-4 "L" wagon squadrons each on Command with 3 "L" wagons and three platoons of 4 wagons each
Vehicles (x4)
n. 3 trucks, n. 3 motorcycles, 15 "L" high-speed wagons
Staff (x2)
n. 4 officers, n. 48 non-commissioned officers and soldiers
Motor vehicles
n. 14 motorcycles, no. 20 cars
staff
n. 23 officers, no. 247 non-commissioned officers and soldiers
Department armament
n. 61 "L" tanks each equipped with 2 machine guns for a total of 122 and 18 submachine guns (counted as heavy machine guns)
Equipment
5 Radio
Consider that in compliance with the "do it yourself" of normal Italian imprint none of the tank units existing at the time of the beginning of the hostilities, however, had that exact toe. In fact, in many cases transport was lacking and also in many cases the operating wagons were by now obsolete types.
All the best
Maurizio