A cube does not have the symmetry element

Concept:

A cube is a three-dimensional shape with six identical square faces.   It possesses following symmetry axis:

1. C₁ axis: The identity element, which does not change the cube's orientation.

2. C₂ axis: A two-fold rotation axis that passes through the center of opposite faces of the cube. This axis generates a 180⁰ rotation of the cube about the axis.

3. C₃ axis: There are four C₃ axes, each passing through the centers of two opposite edges of the cube. These axes generate a 120⁰ rotation of the cube about the axis.

4. C₄ axis: A four-fold rotation axis that passes through the centers of opposite faces of the cube. This axis generates a 90⁰ rotation of the cube about the axis.

5. C₆ axis: passing vertically through the center of the molecule.

Explanation: 

→  The cube contains three different types of symmetry axes: three 4-fold axes, each of which passes through the centers of two opposite faces, four 3-fold axes, each of which passes through two opposite vertices, and. six 2-fold axes, each of which passes through the midpoints of two opposite edges i.e.C2, C₃, C₄ axis are are present but C₆ axis is absent_.

Conclusion: 
The correct answer is option 4.

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