Category:Particular groups

This is a category of articles about particular objects or specific concrete examples in a certain collection of objects

This page lists particular groups, viz groups, each unique up to isomorphism.

See also number of groups of given order to get an idea of how many groups there are of particular orders, along with links to pages that compare and contrast groups of a particular order.

If you want to search for a group given its group ID as per the SmallGroup library for GAP or Magma, type in SmallGroup(order,ID) into the search bar at the top right of the page. For instance, if the ID is (32,33), type in SmallGroup(32,33) in the search bar. If the ID is (12,3), type in SmallGroup(12,3) in the search bar.

Particular groups of importance

Extremely important (importance rank 1):

	GAP ID
Cyclic group:Z2	2 (1)
Cyclic group:Z3	3 (1)
Symmetric group:S3	6 (1)

Very important (importance rank 2):

	GAP ID
Alternating group:A4	12 (3)
Projective special linear group:PSL(3,2)	168 (42)
Quaternion group	8 (4)

Somewhat important (importance rank 3):

Subcategories

This category has only the following subcategory.

G

Groups smallest of their kind

Pages in category "Particular groups"

The following 200 pages are in this category, out of 643 total. The count includes redirect pages that have been included in the category. Redirect pages are shown in italics.

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