So there is a big group based on the fandom of my little pony
My Little Pony is based on the toy franchise based on dolls and play sets. It aired on Discovery Family. What is the name of this fan group?
Friendship is Magic.  It is actually mostly for adults and cosplayers
It was a tv series based on My Little Pony and it also aired on Discovery Family. Do they have events and get togethers?
They have conventions.  One of the major ones is called BronyCon.
BronyCon
BronyCon is an annual fan convention held on the east coast of the United States for fans of "", among them adult and teenage fans of the show, who call themselves . Ten events have occurred to date, with the most recent one in July 2018 drawing in 5,465 attendees. Though originally planned to run through 2025, it was announced at the closing ceremonies of the 2018 convention that 2019 would be the final year.
BronyCon was previously styled as BroNYCon, as its first three conventions were held in
My Little Pony: Friendship Is Magic fandom
"" is an animated television series produced by Hasbro as part of the "My Little Pony" toy franchise, which is tied in with the 2010 relaunch of dolls and play sets and original programming for the American children's cable channel Discovery Family (formerly Hub Network). Lauren Faust was selected as the creative developer and executive producer for the show based on her previous animation experience with other animated shows such as Cartoon Network's "The Powerpuff Girls" and "Foster's