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The cool thing about task forces is they are formed, exist to some level of success, then are codified as something more official and more permanent. Due to that flow, their seal gives them a chance to show what they do and a little about themselves.
The symbols for nuclear, biological, and chemical demonstrates their mission. The globe is obviously for global reach.
Dragons and stars usually indicate satellite launches/operation, so at the time of creation they likely had four satellites under their control or planned to control four satellites. The appearance of the stars are slightly different, possibly lost two of them to another group or only have partial access two of them, perhaps two are not operational yet.
The dragon has a gauntlet, so the group has offensive capability/authority. The three arrows are for either three offensive teams/groups, perhaps regional or separated by nuclear/biological/chemical, etc.
Then again, who really knows. Dragons are awesome after all …