Template:Groups of twice prime order

From Groupprops

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