How to wipe Chairman:
Legacy, Parse, Unity, Omnitron-X
Flip Chairman (kill the first underboss)
+2 from Legacy, Irreducible damage and +1 to Operative from Parse, Unity uses Hasty Augmentation on Omnitron-X who uses Defensive blast.
At +4 all targets take 20 irreducible damage, 24 to Operative. Then Omni does it again for 12 to everyone, 16 to operative. Thats a second round wipe of the organization, requires:
1 card from Legs, 3 from Parse (need big luck there), 1 from Unity and three from Omni, but his can be pulled.
Version 2:
Mr. Fixer, Parse/Legacy/Visionary/Adept, DW Expat, Tachyon/Wraith/Scholar
The idea is get Expat to +2 damage with Hairtrigger, which removes Hitman from being a threat and pretty much seals the game for the heroes. Fixer is there to tank Operative with Hoist chain or Mantis, then someone who can give the +1 damage to Expat, and someone who can stop Chairman's retaliation damage for a few rounds.
Version 3:
Haka, Mr. Fixer then either Visionary and Omnitron-X or Tempest and Scholar. This version you just get Ground Pound and cycle the heck out of it, with grease gun to fill gaps, or work just as well witht he second team.
Version 4: Legacy with two powers, two next Evolutions and lead from the front, be immune to melee and Projectile. Laugh.
That's four ways to completely shut down and crush the Organization.
I've beat Chairman over a dozen times, and only two used any of these.
My favorite is AZ and Visionary, TTE on Chairman, then just let AZ kill him, while Chairman's retaliation either heals AZ or causes a lot more damage to Chairman. A second TTE on Operative makes the game a cake walk.