** Symmetric group S _{6.}**

(It is made by all the possible permutations of 1,2,...,6. It has 6!=720 elements).

**Symmetric group S _{8}.**

(It is made by all the possible permutations of 1,2,...,8. It has 8!=40320 elements).

**Alternanting group A _{6}.**

(It is made by all the permutations of 1,2,...,6 of even class. It contains 360 elements).

**Alternanting group A _{7}.**

(It is made by all the permutations of 1,2,...,7 of even class. It contains 2520 elements).

**Diehedral group D _{4}.**

(It is made by all the symmetries of a square. It contains 8 elements).

**Dihedral group D _{7}.**

(It is made by all the symmetries of a regular ettagon. It contains 14 elements).

**Dihedral group D _{8}.**

(It is made by all the symmetries of a regular octagon. It contains 16 elements).