This is a great point. And drawing from the comment made by MyBoyCity, I'm of the school that we should try to make our SG as all inclusive as possible. This means trying to distance ourselves from names that may have violent connotations. Now if the general consensus is a name that includes "Army" or "Soldiers" then I will support it.
For what it's worth though of all the names we've heard, my favorites are:
Gotham
Gotham Group (although this one kind of sounds like an investment firm)
Gotham City Group
Gotham Supporters
Gotham City Supporters
Five Points
Five Pointers - I just can't give up the hope of having an SG with a Bill the Butcher or a Dead Rabbit on a pike as a crest.
When I hear the name Arkham Asylum I immediately see it as the hooligans of Gotham. Which I think would be pretty awesome.
I'd like to get around 10-15 names that we can all put to vote. Perhaps after the end of a week we can take the top 5 and put those to a vote. And lastly, the top two of that group can be voted on. I want the entire community come together, we need a name that will include everyone's input.