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.

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, (iv) There may be temporary issues with displaying some GAP IDs, which appear as "?"s. This is an intermittent problem.

If you want to search for a group given its GAP ID, type in SmallGroup(order,ID) into the search bar at the top right of the page. For instance, if the GAP 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.