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SPACE GROUP MULTIPLICATION *
A little program to which gives the product of the multiplication of two space group elements. (an old DOS program).
Download SGMULT.zip (14 KB)
 
 

PROPERTIES OF THE 32 POINT GROUPS*
This program gives the notation, elements, subgroups, centralizers, normalizers, normal subgroups, and coset and double coset decompositions of the 32 crystallographic point groups. See publication #54:  "The coset and double coset decompositions of the 32 point groups," by V. Janovec, E. Dvorakova, T.R. Wike, and D.B. Litvin, Acta Cryst. (1989). A45, 801-802. (an old DOS program.)
Download 32pg.zip (43 KB) [Program fails under DosBox when "print out" is requested.] [ Output of this program can also be generated by the downloadable program "Properties of  the Magnetic Point Groups"  below.)
 
 

ICOSAHEDRAL POINT GROUPS*
Permutations of the vertices of an icosahedron under the action of the elements of the icosahedral point groups, the icosahedral point groups' multiplication tables, subgroups, sets of conjugate subgroups, centralizers and normalizers of arbitrary subsets and coset and double coset decompositions. See publication #56: "The Icosahedral Point Groups" by D.B. Litvin, Acta Cryst. (1991) A47, 70-73. (an old DOS program, now given as three separate files containing a drawing of an icosahedron with indexed vertices, an intro file, and program file.)
Download ICO.zip (52 KB)  [DosBox fails to run this program.]
 
 

* If a dos emulator is needed, for Windows one can Download DOSBOX v.0.63 .