# Linear representation theory of O'Nan group

From Groupprops

This article gives specific information, namely, linear representation theory, about a particular group, namely: O'Nan group.

View linear representation theory of particular groups | View other specific information about O'Nan group

## Summary

Item | Value |
---|---|

degrees of irreducible representations over a splitting field (such as or ) | 1, 10944, 13376 (2 times), 25916 (2 times), 26752, 32395 (2 times), 37696, 52668, 53811 (3 times), 58653, 64790 (2 times), 85064, 116963, 143374, 169290 (2 times), 175616 (2 times), 175770, 207360 (3 times), 234080 (2 times) number: 30, quasirandom degree: 10944, maximum: 234080, sum of squares: 460815505920 |

## External links

## GAP implementation

Some information on its irreducible representations is available on GAP, and we use the symbol "ON" to access this information. The degrees of irreducible representations can be computed using the CharacterDegrees and CharacterTable functions.

gap> CharacterDegrees(CharacterTable("ON")); [ [ 1, 1 ], [ 10944, 1 ], [ 13376, 2 ], [ 25916, 2 ], [ 26752, 1 ], [ 32395, 2 ], [ 37696, 1 ], [ 52668, 1 ], [ 58311, 3 ], [ 58653, 1 ], [ 64790, 2 ], [ 85064, 1 ], [ 116963, 1 ], [ 143374, 1 ], [ 169290, 2 ], [ 175616, 2 ], [ 175770, 1 ], [ 207360, 3 ], [ 234080, 2 ] ]