Groups of order 314

From Groupprops

This article gives information about, and links to more details on, groups of order 314
See pages on algebraic structures of order 314 | See pages on groups of a particular order

This article gives basic information comparing and contrasting groups of order 314. See also more detailed information on specific subtopics through the links:

Information type Page summarizing information for groups of order 314
element structure (element orders, conjugacy classes, etc.) element structure of groups of order 314
subgroup structure subgroup structure of groups of order 314
linear representation theory linear representation theory of groups of order 314
projective representation theory of groups of order 314
modular representation theory of groups of order 314
endomorphism structure, automorphism structure endomorphism structure of groups of order 314
group cohomology group cohomology of groups of order 314

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:D314 1 No
cyclic group:Z314 2 Yes