Group of Symmetries of a Cube
a. Carefully describe the group of symmetries of a cube.
Describe the types, the orders, and the structures of the groups
and their elements. After clearly naming the elements in some way,
provide tables for each group. Describe them as a group of
permutations on the vertices.
b. Next, carefully describe each of these groups as subgroups of
some permutation group. Be sure to provide reasons for your
choices.
c. What are the POSSIBLE...