Point Group & Symmetry of Urea Molecule: Solution Explained

[chemistry1902]

Problem: Consider the planar urea molecule.
i) Determine the point Group, as well as the symmetry of the x,y and z coordinates.
ii) Consider the following atomic orbitals:
C : 2s; 2p
N : 2s; 2p
O : 2s; 2p
H : 1s
Determine the equivalent sets of orbitals and the symmetry of each set.

Solution: i) Found the pointgroup to be Cs, and symmetry x,y = A' and z = A''.

Don't know how to tell which ones are equivalent and which symmetries they have.
Can someone please help?

 

[DrDu]

Cs is too small. It has a higher symmetry. Which symmetry operations did you find?
To say something about the symmetry of x,y and z, you have to specify how they are oriented relative to the molecule.