This is the complete list of TIE Fighter Corps units, as it encompasses all battlegroups, ships, wings, and squadrons currently available on the TIE Corps rosters, both active/commissioned and inactive. Active units are open for assignment of real-world members. The list of only active units along with their current membership is available on the Rosters page. You can also view descriptions for each of the currently active squadrons.
This is not the complete list of Emperor's Hammer Strike Fleet units; the Fleet Order of Battle includes many units belonging to other Emperor's Hammer groups, in addition to support ships and other vessels like freighters and personal craft.