Subgroup structure of groups of order 3^n
This article gives specific information, namely, subgroup structure, about a family of groups, namely: groups of order 3^n.
View subgroup structure of group families | View other specific information about groups of order 3^n
This article describes the subgroup structure of groups of order 3^n, i.e., groups whose order is a power of 3.
| Number of groups of order | Information on groups | Information on subgroup structure | ||
|---|---|---|---|---|
| 0 | 1 | 1 | trivial group | |
| 1 | 3 | 1 | cyclic group:Z3 | subgroup structure of cyclic group:Z3 |
| 2 | 9 | 2 | groups of order 9 | subgroup structure of groups of order 9 |
| 3 | 27 | 5 | groups of order 27 | subgroup structure of groups of order 27 |
| 4 | 81 | 15 | groups of order 81 | subgroup structure of groups of order 81 |
| 5 | 243 | 67 | groups of order 243 | subgroup structure of groups of order 243 |
| 6 | 729 | 504 | groups of order 729 | subgroup structure of groups of order 729 |
| 7 | 2187 | 9310 | groups of order 2187 | subgroup structure of groups of order 2187 |
