Ok, this is a bit of a word fest and smells like communism; and is just here because I got bored and coffee deprived.
At the top level of government, we have 3 supreme rulers. Their word is law. However, they each represent the collective view of their "Wing" of government (explained in a tick) They deal with issues that span across all of the wings or of national importance.
Next level there are the three wings of government. There is the Military, Production and Civil wings. The Military wing deals with all the military stuff (no brainer); the Production wing deals with production, trade and infrastructure; and the Civil wing deals with the public.
Each of these wings has three branches that deal with different issues. Each branch's leader is representative of the collective view of the branch and along with the representative of the wing forms the 4 people in command of the wing. These 4 in charge discuss issues spanning the whole wing.
The Military wing's branches are the combat branch (in charge of actual usage of military force), the subversion branch (basically the secret police/sabotage/spies of the county and shutting up those who disagree, propaganda) and intelligence (dealing with all the information gathered, going pretty hand in hand with the subversion).
The Production wing has the Primary branch (in charge of primary resources), secondary (manufacturing and infrastructure) and tertiary (services and R&D)
The Civil branch has the Prosperity branch (deals with welfare money and making sure there is poverty and disease running rampant), the Service branch ( education, civilian police, hospitals) and the Communications branch (dealing with non military communication and the like.)
And no it isn't a dictatorship. If one brach or wing is too powerful, the other two will pull it back into line.