hey...
1.Communist. Believes in government (they say its worker but ends up being government) control of industry and wealth redistribution.

2: Socialist. Basically the same as communism but not as extreme. Their process tends to be slower, more gradual but the end is the same.

3: Democratic socialism. These guys arent as bad as the above two as they still believe in democracy and some basic freedoms but will still implement excessive taxes and support redistributionist policies, but will use democracy to defend their actions.

4: Social Democracy. This is when you have a market based economy rather than a centralised or planned economy and you use the benefits of capitalism to fund basic social services.

5: Centre left liberalism. Similar to the above but not quite the same. Centre left liberals usually dont support a completely centralised social services but rather opt for private competition with the option for subsidies for the poor but still support relatively high taxes. They usually support socially progressive agendas such as gay marriage.

6: Centrism. This is hard to identify as often self proclaimed centrists lean one way far more than the other and only use the title of centrist for broad public appeal. Centrism in and of itself isnt a description of ideology.

7: Centre right conservatism. This is the likes of George Bush where they support a similar system to centre left liberals. The two are basically each side of the spectrums attempt at compromise but without giving up their goal.

8: Conservatism. Opts for small, localised government with reduced social services and lower taxes. Usually place great emphasis on law & order as a key principle as well as the advancement of family values (which is a rather vague term when you think of it as a policy).

9: Free market libertarianism. These guys are a bit of a mix between liberals, conservatives and centrists. Usually, despite all the talk, libertarians do support a range of laws and regulations and agree to some basic taxation. But they think all three ought to be limited and only used when necessary.

10: Religious conservatism. Often called paleo-conservatism. These are the folks who invoke the bible when trying to pass a law and usually are strongly pro life, anti gay marriage, etc.

11: Anarcho-capitalism. Basically the complete opposite of communism, anarcho-capitalism is against the idea of any government whatsoever and argues individuals are responsible for everything and people should resolve issues without government. Theres some question here as to their position on hierarchy. Ive known some anarcho-capitalists argue that even churches shouldnt exist because of the structured hierarchy but that begs the question of how you enforce that.

The vast majority of political parties fall in between 3 and 8.
Hope this helps!
Regards!