Complete the indicated task in Supergroup mode to unlock the corresponding badge. The requirements are collective and are the sum of all the efforts of members of your Supergroup:

Analyzer Base Defense: Get damaged by 20,000,000 points.
Cap Au Diable Beacon: Collect the five exploration badges in Cap Au Diable.
Improved Igniter: Collect 100,000,000 influence outside of trading.
Mega Moniter Plans: Collect five Supergroup badges.
Mercy Island Beacon: Collect the six exploration badges in Mercy Island.
Nerva Beacon: Collect the five exploration badges in Nerva Archepelago.
Port Oakes Beacon: Collect the four exploration badges in Port Oakes.
Repulsor Base Defense: Pay off 1,000,000 in debt.
SG Mission Computer: Sidekick or lackey for at least ten hours.
Sharkhead Beacon: Collect the four exploration badges in Sharkhead Isle.
St. Martial Beacon: Collect the four exploration badges in St. Martial.