Build Table
A build table is a list of what units a faction can produce of a given type and weight class. Build tables are probability-based - if a HBK-4G shows up at 10% on the faction's Medium Mek build table, then there is a 10% chance that a new medium mek produced by that faction(whether by player production or auto-production) will be a HBK-4G.
Each faction has its own build tables. There are also two build tables not associated with factions - the Common table and the Rare table. The Common table is a list of the most commonly-used units in the Inner Sphere, which are produced by all factions. Factories do not produce directly off the Common table, instead the units on the table are included in each faction's individual build tables. The Rare table includes units with Star League technology bases, though it is currently disabled in the game.
When producing at a factory, players always produce off their faction's build table. However, when using RP to buy units, players may choose which table to buy off. Buying off your own faction's build table or the Common build table costs half as much as buying off another faction's build table. There is technically an option in game to buy off the Rare table, but the cost is set to be impossibly high.