• Libertarian: Believes in civil liberties, supports a free market
• Tea Party: Believes in smaller government, lower taxes, fewer government-run programs
• Christian Conservative: Believes in socially-conservative values based on an interpretation of Christian beliefs
• Establishment: Believes in unifying the GOP by supporting a bit of all of the other four listed here
• Moderate: Believes in more liberal beliefs, typically on social issues, while still maintaining core GOP values

Links:
Republican Primary Results Š 2016 Election - CNN
Republican Party presidential primaries, 2016 - Wikipedia