Data is sent over the system... but it's not sent on a specific talkgroup. The frequency used for data transmission rotates, and if you were to use a control channel logging/tracking utility you can see what frequency is being used for the data traffic. But I don't know of any programs that would decode the data being sent, if you were to monitor that frequency.
TG 2837 is encrypted, so if you were hearing nothing, then that may be why. Someone told me in a private message that a good description of what it was used for was given on one of the LCSO dispatch TGs before it went into use one time, though they failed to provide me with the information. Having seen a variety of LCSO radios from the dispatch TGs active on it, and combined with another post in which someone mentioned something about LCSO and Emergency Operations, I'm pretty sure that the TG is being used by the LCSO Sheriff's Emergency Response Team for Special Ops/SWAT type communications... just need something to nail it down for good.