Demons of Fury, Destroyer, or Omega (破壊神, Hakaishin lit Destruction God) are gods of wrath and destruction. The objective of this destruction can vary, however it's usually in preparation for the upcoming rebirth of the world. In the Megaten series, they're all bruisers, focused on dealing out heavy amounts of physical damage, though they fall short in other areas. Like Deities, they are somewhat difficult to fuse.
Before Shin Megami Tensei II, demons of Tenma race share the similar mythological role with Hakaishin, except that all Tenma demons are originated from Hindu or Asian pantheons. Shiva and Seiten Taisei (Wu Kong) are the remaining demons transferred from Tenma to Hakaishin race and still actively recurring throughout the series.
Fury Order (蛮力属) demons are a classification that tend to focus on physical attacks in the Devil Summoner: Raidou Kuzunoha games. They have the skill Use Force, which allows them to break objects blocking ones path in the game. They tend to give Fury type metals as gifts.
The Fury race is known as Omega in this game. The Omega race has the Asura Karma Racial Skill, which allows the team to gain Double Extras (a second Extra Turn) by hitting a weakness or scoring a critical hit during the Extra Turn phase. Stronger Omega have this skill changed to Asura Destiny, which also grants a greater chance of team members starting combat with an Extra Turn. Omega are also notable in that every member of their race is unique.
* Asterisk denotes race that has been put under different species throughout the series. Italic font denotes the race/species name (not in katakana for Western loanword) has not yet received any official English localization.