Create the branch on your local machine and switch in this branch:
$ git checkout -b [name_of_your_new_branch]
Push the branch on github:
$ git push origin [name_of_your_new_branch]
Create the branch on your local machine and switch in this branch:
$ git checkout -b [name_of_your_new_branch]
Push the branch on github:
$ git push origin [name_of_your_new_branch]