Template:Groups of twice prime order: Difference between revisions
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Latest revision as of 01:12, 20 December 2023
This article gives information about, and links to more details on, groups of order {{{1}}}
See pages on algebraic structures of order {{{1}}}"{{{" can not be assigned to a declared number type with value 1. | See pages on groups of a particular order
This article gives basic information comparing and contrasting groups of order {{{1}}}. See also more detailed information on specific subtopics through the links:
| Information type | Page summarizing information for groups of order {{{1}}} |
|---|---|
| element structure (element orders, conjugacy classes, etc.) | [[element structure of groups of order {{{1}}}]] |
| subgroup structure | [[subgroup structure of groups of order {{{1}}}]] |
| linear representation theory | [[linear representation theory of groups of order {{{1}}}]] [[projective representation theory of groups of order {{{1}}}]] [[modular representation theory of groups of order {{{1}}}]] |
| endomorphism structure, automorphism structure | [[endomorphism structure of groups of order {{{1}}}]] |
| group cohomology | [[group cohomology of groups of order {{{1}}}]] |
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:D{{{1}}}]] | 1 | No |
| [[cyclic group:Z{{{1}}}]] | 2 | Yes |