Category:Particular groups

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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 are there of particular orders.

For the GAP IDs listed below, the number outside parentheses is the order of the group and the number within parentheses is the ID among groups of that order as per GAP. For groups that do not have listed GAP IDs, there may be any of these reasons: (i) the group is infinite, (ii) the group is finite but not of the order where GAP IDs are assigned (see GAP:IdGroup for information on that), (iii) the group has a GAP ID but the information has not been entered in the wiki.

 GAP ID
Alternating group:A412 (3)
Alternating group:A6360 (118)
Cyclic group:Z103103 (1)
Cyclic group:Z107107 (1)
Cyclic group:Z1111 (1)
Cyclic group:Z113113 (1)
Cyclic group:Z1313 (1)
Cyclic group:Z1414 (2)
Cyclic group:Z1515 (1)
Cyclic group:Z1717 (1)
Cyclic group:Z1919 (1)
Cyclic group:Z22 (1)
Cyclic group:Z2121 (2)
Cyclic group:Z2222 (2)
Cyclic group:Z2323 (1)
Cyclic group:Z2525 (1)
Cyclic group:Z2626 (2)
Cyclic group:Z2828 (2)
Cyclic group:Z2929 (1)
Cyclic group:Z33 (1)
Cyclic group:Z3030 (4)
Cyclic group:Z3131 (1)
Cyclic group:Z3333 (1)
Cyclic group:Z3535 (1)
Cyclic group:Z3737 (1)
Cyclic group:Z3939 (1)
Cyclic group:Z44 (1)
Cyclic group:Z4141 (1)
Cyclic group:Z4343 (1)
Cyclic group:Z4545 (1)
Cyclic group:Z4646 (2)
Cyclic group:Z4747 (1)
Cyclic group:Z4848 (2)
Cyclic group:Z55 (1)
Cyclic group:Z5353 (1)
Cyclic group:Z5959 (1)
Cyclic group:Z6161 (1)
Cyclic group:Z6767 (1)
Cyclic group:Z77 (1)
Cyclic group:Z7171 (1)
Cyclic group:Z7373 (1)
Cyclic group:Z7979 (1)
Cyclic group:Z8383 (1)
Cyclic group:Z8989 (1)
Cyclic group:Z9797 (1)
Dicyclic group:Dic2828 (1)
Dihedral group:D1414 (1)
Dihedral group:D2222 (1)
Dihedral group:D2626 (1)
Dihedral group:D88 (3)
... further results

Subcategories

This category has only the following subcategory.

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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