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Aug 4, 2012 at 12:27 comment added Leandro Vendramin As Mariano said, check mathoverflow.net/questions/86019/…. For particular examples, you can use GAP function IrreducibleRepreentations.
Aug 3, 2012 at 21:27 comment added Alex B. Every finite group is a subgroup of some symmetric group. Without further information, you are simply asking how to compute the irreducible representation of some given finite group. Have a look at one of the standard books on character theory, such as Serre, or Isaacs.
Aug 3, 2012 at 17:20 comment added Qiaochu Yuan A standard strategy is to find subgroups or quotient groups whose representations you understand and induct or restrict their representations. See, for example, en.wikipedia.org/wiki/… .
Aug 3, 2012 at 15:28 comment added Mariano Suárez-Álvarez This has been discussed on MO a while ago. Searching with Google should unearth useful information.
Aug 3, 2012 at 15:15 history asked user25504 CC BY-SA 3.0