Create Subfolders for files and move them into, each for themselves

In Linux in a Folder there are these files: LQ0gfKQej7GKG44Cn0sSAC.part01.rar LQ0gfKQej7GKG44Cn0sSAC.part02.rar LQ0gfKQej7GKG44Cn0sSAC.part03.rar LQ0gfKQej7GKG44Cn0sSAC.part04.rar LQ0gfKQej7GKG44Cn0sSAC.part05.rar LQ0gfKQej7GKG44Cn0sSAC.part06.rar LQ0gfKQej7GKG44Cn0sSAC.part07.rar LQ0gfKQej7GKG44Cn0sSAC.part08.rar LQ0gfKQej7GKG44Cn0sSAC.part09.rar LQ0gfKQej7GKG44Cn0sSAC.part10.rar no9e1hvqlVEbYHs9YU3.part1.rar no9e1hvqlVEbYHs9YU3.part2.rar NwgdNaort1EqT0ch.part1.rar NwgdNaort1EqT0ch.part2.rar NwgdNaort1EqT0ch.part3.rar NwgdNaort1EqT0ch.part4.rar VEwMzBPH91J.part1.rar VEwMzBPH91J.part2.rar I want to create a folder with the name LQ0gfKQej7GKG44Cn0sSAC In this Folder I want to move all LQ0gfKQej7GKG44Cn0sSAC.part... files. For no9e1hvqlVEbYHs9YU3,NwgdNaort1EqT0ch and VEwMzBPH91J the same way too. To get a list with the names I do this:

ls -1 * | cut -f1 -d "." | uniq > ../names

For creating the Subfolders I use:

cat ../names | xargs mkdir

I then tried then something like:

cat ../names | xargs -I '{}' mv '{}*' {}

But I think I am not on the right way.... It does not work.