Relationships between space and point groups

Evgraf Stepanovich Fedorov (1853-1919). Russian mineralogist and crystallographer who by applying the theory of finite groups to crystallography derived 230 space groups in 1891. Fedorov s last name is spelled as Fyodorov or Fedoroff in some references. 

Arthur Moritz Schonflies (1853-1928). German mathematician who derived 230 space groups independently of E.S. Fedorov in 1891. See http //www-gap.dcs.st-and.ac.uk/ -history/Mathematicians/Schonflies.html for a brief biography. 

Crystal system (total number of space groups symmetry) Point group Space groups based on a given point group symmetry (the superscript indicates the space group number as adopted in the International Tables for Crystallography, vol. A) 

Orthorhombic 222 P222 P222, P2,2,2 P2,2,2, C222, C222, F222,  

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