Linear representation theory of O'Nan group

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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 \overline{\mathbb{Q}} or \mathbb{C}) 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 ] ]