The Third eschews the traditional FedCom livery and paints its 'Mechs and vehicles jet black.
Per FM:Federated Suns, page 92.
The insignia of the Federated Commmonwealth RCTs is a hybrid of that used by the Federated Suns and Lyran Commonwealth; the backdrop is the Davion Sunburst, over which is the mailed fist of House Steiner, and in front that the Davion Sword. As a reminder of their failure, few members of the RCT wear the Federated Commonwealth logo, substituting a stylized map of Sarna, painted in white on a red rectangle. Per FM:Federated Suns, pages 90 and 92.