Groups of order 278
This article gives information about, and links to more details on, groups of order 278
See pages on algebraic structures of order 278 | See pages on groups of a particular order
This article gives basic information comparing and contrasting groups of order 278. See also more detailed information on specific subtopics through the links:
| Information type | Page summarizing information for groups of order 278 |
|---|---|
| element structure (element orders, conjugacy classes, etc.) | element structure of groups of order 278 |
| subgroup structure | subgroup structure of groups of order 278 |
| linear representation theory | linear representation theory of groups of order 278 projective representation theory of groups of order 278 modular representation theory of groups of order 278 |
| endomorphism structure, automorphism structure | endomorphism structure of groups of order 278 |
| group cohomology | group cohomology of groups of order 278 |
Statistics at a glance
| Quantity | Value | Explanation |
|---|---|---|
| Total number of groups | 2 | See classification of groups of twice prime order |
| Number of abelian groups | 1 | See classification of finite abelian groups and structure theorem for finitely generated abelian groups. |
| Number of simple groups | 0 |
The list
| Group | GAP ID (second part) | Abelian? |
|---|---|---|
| dihedral group:D278 | 1 | No |
| cyclic group:Z278 | 2 | Yes |