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Homework Help: How to prove Cs is a subgroup of C3v?

  1. Dec 20, 2012 #1
    1. The problem statement, all variables and given/known data
    prove that Cs is a subgroup of C3v group

    2. Relevant equations

    3. The attempt at a solution
    There are only two elements in Cs group, E and C_sigma. C_sigma is plane reflection operator which does not seem to exist in C3v group. This leads to my question here.
  2. jcsd
  3. Dec 21, 2012 #2


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    Homework Helper

    Does C3v contain an element of order 2? If so it has a subgroup isomorphic to Cs.
  4. Dec 25, 2012 #3
    Thanks, this makes sense!
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