General

Abelian group of order 8, non cyclic. Represented as the positive integers less than 20 and which are coprime to 20 under multiplication modulo 20. That is the integers 1, 3, 7, 9, 11, 13, 17, 19.

Order

8

Elements

4 elements of order 4, 3 of order 2

Generators

Can take 3 and 11.

Subgroups

8 subgroups, all of which are normal of which 5 are non-trivial cyclic.

Factor groups

, 1, , ,