Short answers, pulled from the story.
Willis Carto established Liberty Lobby in 1958 as a conservative anti-Communist pressure group. The organization described itself to Congress as the only lobby dedicated to advancing government policies based on the Constitution and conservative principles.
Liberty Lobby produced a daily five-minute radio show called This is Liberty Lobby on the Mutual Broadcasting System. In 1975 the organization began publishing a weekly newspaper named The Spotlight with news and opinion articles carrying a populist slant. Liberty Lobby also founded The Barnes Review in 1994 to further disseminate its views.
The political organization known as Liberty Lobby remains defunct since that time after losing a civil lawsuit brought by a rival far-right group in 2001. The judgment for damages bankrupted the organization completely and marked the end of decades of operations spanning from the late 1950s through the turn of the millennium.
While the group claimed to be patriotic, it simultaneously began forming other organizations with explicit neo-Nazi orientations including the National Youth Alliance created in 1968. That group eventually evolved into the National Alliance under William Luther Pierce after Carto lost control. The Institute for Historical Review followed by 1978 as another vehicle for Holocaust denial publishing.
A federal civil lawsuit involving letters by Carto excoriating Jews became the subject of Anderson v. Liberty Lobby decided by the U.S. Supreme Court in 1986. There were several other defamation lawsuits arising from publications that described Liberty Lobby as racist but the group never won any of these cases.