You cannot miss it in the map, because its right there in the middle, just as its name states.
The Central African Republic started as a French colony until it gained its independence in 1958, which kicked off a series of power struggles, and the country ended up falling in the hands of Col. Jean-Bédel Bokassa, a certified nutcase. Bokassa quickly turned the repression machine on high speed, decided to transform the republic into an empire (the Central African Empire), where he crowned himself in a ridiculously expensive ceremony (which cost roughly 1/3 of the national GDP for that year), and generally made a spectacle of himself internationally until he was eventually deposed and tried.
Sadly, the nation hasnt improved much since then, having political instability, high HIV/AIDS rate (about 11%) and being one of the poorest nations in the world. In a 2003 coup, democratically elected but notoriously corrupt president Ange-Félix Patassé was overtrown by General François Bozizé. A bush war between Bozizé's forces and various insurgent groups began in 2004. The Muslim groups joined forces in 2012, forming a new insurgent group called Séléka and attempting to overthow Bozizé. Despite succeeding in its goal, the group split up due to dispute over the spoils of victory. Faction led by one Michel Djotodia took control over the nation's capital city of Bangui and excluded the others from power. Some splinter factions of Séléka began attacking and plundering Christian communities; in return, the Christians formed a group called Anti-Balaka ("Anti-Machete"). At this point, the conflict became religious. In response to that, in December 2015 several factions of the ex-Séléka declared an independent, Muslim-dominated "Republic of Logone" in central regions of the country. As for Djotodia, he had to be evacuated from Bangui by armed peacekeepers. As if the situation is not complicated enough, also present are: remnants of the Bozizé regime, French Foreign Legion, African peacekeepers, Russian Private Military Contractors, as well as foreign extremist groups from neighbouring countries (most notably Chad and Sudan). The result is, more or less, a Death World.
Most of the country is a jungle, which has the potential of attracting hundreds of tourists (were it not for the war). Diamonds are its main export, but the poor economic development prevents its full potential.
If you want an idea of Bokassas regime, you can watch Echoes from a Somber Empire, made by Werner Herzog.
If you want to see how the last years of Bozizé's rule looked like, you can watch The Ambassador, made by Mads Brügger.
If you want to see a documentary about the recent religious war, you can watch The Devil Tried to Divide Us, made by VICE News.
The Central African flag