I do agree with what has been said so far in this thread. Regarding the names of the schools and styles here is a little more infomation
When the Japanese pulled out of Korea - August 1945 - there were 5 major schools (Kwans) in Korea:
1.) Moo Duk Kwan in Seoul , lead by Hwang Kee
2.) Yon Moo Kwan in Seoul , lead by Chun Sang Sup
3.) YMCA Kwon Pup in Seoul , lead by Pyong In Yuk
4.) Chung Do Kwan in Seoul , lead by Won Kuk Lee
5.) Song Moo Kwan in Kai Sung , lead by No Byong Jik
These were schools not styles, that could be said to be in the "Karate-family" for lag of a better word . Of course Korea had other styles of martial arts , but these were the ones that both TSD and TKD were to use as their fundation. Taekwondo has even gone so far as saying that the art of Taekwondo is build on (these) 5 arts.
By the start of the Korea war (June 1950) more schools and Styles/organisation had come foreward. This is a list of the major ones:
1.)The school of Moo Duk Kwan who did the style of Moo Duk Kwan ,although Hwang Kee by now had started to call the style Tang Soo Do - the china hand - in homage to where he did learn the base of his style (And no it's not chinese in its foundation, but thats another story

)
2.)The school of Ji Do Kwan who did the style(s) of Ji Do Kwan , Yon Moo Kwan and Han Moo Kwan
3.)The school of Chang Moo Kwan who did the style(s) of Kang Duk Won , Kang Moo Kwan and Cheong Do Kwan
4.)The school of Chung Do Kwan who did the style(s) of Chong Do Kwan , Choong Kyong Kwan , Kuk Moo Kwan and O Do Kwan
5.) The school of Song Moo Kwan who did the style of Song Moo Kwan .
Now when I say School I mean Style and/or federation depending on the number of styles being practised and they all had at least some comon ground with the japanese/okinawa karate styles in the way they did their basics .
Hope this helps.
Take care
Zeke

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