Conjugacy classes (reviewed)

Conjugacy classes in a group of automorphisms are identified by their index in the list of conjugacy clases returned by Magma.

For example, the unique conjugacy class in the group $SL(2,3)$ that contains elements of order 4 appears as the 5th conjugacy class in the list of conjugacy classes for this group and is identified by the ordinal $5$. Information about this conjugacy class, including an explicit representative can be obtained in Magma using either of the commands below:

• "ConjugacyClasses(SL(2,3))[5];"
• "ConjugacyClasses(SmallGroup(24,3))[5];"

Here $[24,3]$ is the group identifier for the group $SL(2,3)$.