General

Abelian group of order 8, non cyclic. Represented as the positive integers less than 24 and which are coprime to 24 under multiplication modulo 24. That is the integers 1, 5, 7, 11, 13, 17, 19, 23.

Order

8

Elements

7 of order 2

Generators

Can take 5, 7 and 13. This group cannot be generated by two elements.

Subgroups

16 subgroups, all of which are normal of which 7 are non-trivial cyclic.

Factor groups

, 1, ,