first of all it is not a Group,because for a group,in cayley table no repetition in any coloumn and row allowed.

* is not defined what kind of operation it is,considering multiplication:

1.it has an identitiy element see 1st column 1st row.

2.it is not commutative,because if commutative transpose of table NOT EQUAL to table.(not symmetric)

* is not defined what kind of operation it is,considering multiplication:

1.it has an identitiy element see 1st column 1st row.

2.it is not commutative,because if commutative transpose of table NOT EQUAL to table.(not symmetric)