
I thought of all people you jt, would be beyond steroetypes.
The only mantis that can break glass are peacocks...and only after they are 6"ish.
There are two types of mantis...spearers and smashers. The spearers will take live fish, but the smashers will 99% of the time leave them alone.
Roy's List of Stomatopods for the Aquarium
Dr. Roy has devoted alot of time to these creatures, and I suggest reading if you are interested. There are many more species, but these are the ones that are "common" in the aquarium trade. BTW...more times than not (unless you order LR from TampaBaySaltwater.com) the "mantis" you have in your tank as a hitchiker is actually a pistol shrimp.