BE WARNED they can be the best escapologists you need to make your tank secure.
Oh yes...A good weight on your tank lid will be a must!
I kept one in a community tank a few years ago.
Claude Van Damned was my pet crab-who ate anyone in his way-this tiny little crab was gigantic in attitude. He even attacked the cat. He had one heck of a special talent.
This was Houdini in crab form. He managed to get through a 2 cm gap in the back of the fish tank lid (after getting through a tiny gap in a plate glass screen!), survive a five and a bit foot drop, and go walkabout.
We'd find him in all sorts of places-he once got as far as the bathroom, on the other side of the house. He tended to prefer just puttering about the living room, since it was the warmest room.
Until he met my Nan.
My Nan has a deathly fear of spiders, and somehow she managed to mistake a bright red, inch and a half long crab, with whopping great claws, for a tarantula.
She belted him, first with a newspaper, then with a pencil-before realising she was in fact braining my much favoured pet crab.
She filled a bowl with cold tap water, and flicked him in.
When my brother came home, and was told what happened, he told her that Claude needed hot, salty water.
So my Nan boiled the kettle, added half a shaker of salt, and dropped Claude Van Damned in.
Poor Claude Van Damned-he only lived for about a week after that. I don't think my Nan's eaten crab since either.
I'd be a bit iffy about putting a betta in with a crab or a lobster. Those long flowing fins may prove a bit of a temptation.
But that might depend upon your definition of a "large" tank. In my case the tank was 3 foot x 3foot x 3 foot-so it was fairly easy to keep a few gourami's, tetra, shrimp, bottom feeders, and a crab without too much fuss.
Be warned though! My crab was highly territorial, and had an ongoing feud with the dorid. I have been told this isn't normal though.