From the NSP website.
State and federal records will be checked for all applicants. In addition, when an application for a permit to carry a concealed handgun is received by the Nebraska State Patrol, data concerning the application and a request for information will be transmitted to the Sheriff in the county of residence and the Chief of Police in the city or nearest residence of the application. This request will be transmitted electronically whenever feasible and will ask for local records and other information having a direct vearing on whether or not the applicant meets the qualifications for a permit.