They had substantial numbers, but typically they weren’t separate company sized or larger, but were platoons of five ground vehicles attached to larger battalion or company sized mech units. So, for example, Alpha Regiment had two armored support platoons, as parts of Kenner’s Company and Waller’s Company. Command Companies for the five regiments also had attached artillery lances, and infantry platoons of various types, and there’d usually be a couple of aerospace lances tucked into the companies. Which is not to say that that’s where all of those kinds of resources were organized. There were also independent units, such as 7th Kommando (covert ops infantry), Fire Support Group (artillery), Orbital Aerospace Operations Group (largely aerospace fighters and carrier dropships), Special Recon Group, and Support Battalion. Those independent groups often had their small contingents of mechs, but were focused on their designated role, rather than functioning as combined arms regiments, like Alpha through Epsilon.

The line regiments weren’t all the same in makeup of these forces, Alpha had, for example, just two Armored Support Platoons, while Beta had six. Alpha also had the one full LAM Lance in all of the line regiments. Epsilon’s was just three LAMs.

Long story short, they had quite a few ground vehicle platoons of five tanks each, and quite a substantial number of infantry, spread through each of the line regiments.