One question:

Does Z_4xZ_4 have 12 elements of order 4?

Let G= {1, 7, 43, 49, 51, 57, 93, 99, 101, 107, 143, 149, 151, 157,

193, 199} under multiplication modulo 200. Does this group also have 12 elements of order 4? I only counted 10.

Could you guys help me out with this problem?

Thanks!