Z36 is the additive group of all integers from 0 to 35 modulus 36.


Its subgroups are:


1)  of the order 2:  {0,18};


2)  of the order 3:  {0,12,24};


3)  of the order 4:  {0,9,18,27};


4)  of the order 6:  {0,6,12,18,24,30};


5)  of the order 9:  {0,4,8,12,16,20,24,28,32};


6)  of the order 12:  {0,3,6,9,12,15,18,21,24,27,30,33};


7)  of the order 18:  {0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34}.