Here is the full list of all 27 Synthetik achievements.
Survive the Armageddon Chamber
Defeat the Last Defender
Open a timed chest in the last second
Have 3 Shield Boosting Buffs active at the same time
Reach level 25 with one Commando Class
Reach 25 with any class
Defeat the Arena Masters
Defeat Raptor Type E
Reach level 25 with one Guardian Class
Reach level 25 with one Rogue Class
Reach level 25 with one Specialist Class
Prestige at least once
Unlock all Research options
Defeat the Unstable Mass
Defeat the APC
Find a weapon in the super rare Divine variant
Fail a timed chest with little time remaining
Get a "S" Rating after a run
Defeat Experiment 57
Hack the Server
Obtain an artefact
Get a rare Ultra variant for a weapon
Survive the Armageddon Chamber on at least 200%
Reach Credit limit 10000
Beat 5 rooms in Loop
Get a "SSS" Rating after a run
Gain over 500 HP from a heart core