# Math Help - list the subgroups

1. ## list the subgroups

List the subgroups of Z sub 24. List the generators for the subgroup of order 8

2. Originally Posted by mandy123
List the subgroups of Z sub 24. List the generators for the subgroup of order 8
The subgroups of $\mathbb{Z}_{24}$ as $k\mathbb{Z}_{24}$ where $k|24$.

3. so the subgroups would be 2,3,4,6,8,12

And the generators for the subgroup of order 8 would be
2 and 6
3 and 5
1 and 7
?