- General
-
Cyclic (and hence abelian) group of order 12. Represented as the integers
0 through 11 under addition modulo 12.
- Order
- 12
- Elements
- 4 of order 12, 2 of order 6, 2 of order 4, 2 of order 3, 1 of
order 2
- Generators
- 1 is a generator (so is any integer coprime to 12)
- Subgroups
- 6 subgroups, all of which are normal and cyclic.
- Factor groups
-
, 1,
,
,
,
,
Peter Williams
Wed Mar 26 23:48:30 PST 1997