http://www.nebraskalegislature.gov/laws/statutes.php?statute=s6924041000Nebraska Revised Statute 69-2441
(Relevant sections to this question)69-2441. Permitholder; locations; restrictions; posting of prohibition; consumption of alcohol; prohibited.
(1)(a) A permitholder may carry a concealed handgun anywhere in Nebraska, except any: Police, sheriff, or Nebraska State Patrol station or office; detention facility, prison, or jail; courtroom or building which contains a courtroom; polling place during a bona fide election; meeting of the governing body of a county, public school district, municipality, or other political subdivision; meeting of the Legislature or a committee of the Legislature; financial institution; professional or semiprofessional athletic event; building, grounds, vehicle, or sponsored activity or athletic event of any public, private, denominational, or parochial elementary, vocational, or secondary school, a private postsecondary career school as defined in section 85-1603, a community college, or a public or private college, junior college, or university; place of worship; hospital, emergency room, or trauma center; political rally or fundraiser; establishment having a license issued under the Nebraska Liquor Control Act that derives over one-half of its total income from the sale of alcoholic liquor; place where the possession or carrying of a firearm is prohibited by state or federal law;
a place or premises where the person, persons, entity, or entities in control of the property or employer in control of the property has prohibited permitholders from carrying concealed handguns into or onto the place or premises; or into or onto any other place or premises where handguns are prohibited by state law.
(2) If a person, persons, entity, or entities in control of the property or an employer in control of the property prohibits a permitholder from carrying a concealed handgun into or onto the place or premises and such place or premises are open to the public,
a permitholder does not violate this section unless the person, persons, entity, or entities in control of the property or employer in control of the property has posted conspicuous notice that carrying a concealed handgun is prohibited in or on the place or premises or has made a request, directly or through an authorized representative or management personnel, that the permitholder remove the concealed handgun from the place or premises.
(3) A permitholder carrying a concealed handgun in a vehicle or on his or her person while riding in or on a vehicle into or onto any parking area, which is open to the public, used by any location listed in subdivision (1)(a) of this section,
does not violate this section if, prior to exiting the vehicle, the handgun is locked inside the glove box, trunk, or other compartment of the vehicle, a storage box securely attached to the vehicle, or, if the vehicle is a motorcycle, a hardened compartment securely attached to the motorcycle. This subsection does not apply to any parking area used by such location when the carrying of a concealed handgun into or onto such parking area is prohibited by federal law.