Linear representation theory of Janko group:J2

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This article gives specific information, namely, linear representation theory, about a particular group, namely: Janko group:J2.
View linear representation theory of particular groups | View other specific information about Janko group:J2

Summary


Item Value
degrees of irreducible representations over a splitting field (such as \overline{\mathbb{Q}} or \mathbb{C}) 1, 14, 14, 21, 21, 36, 63, 70, 70, 90, 126, 160, 175, 189, 189, 224, 224, 225, 288, 300, 336
maximum: 336, lcm: 151200, number: 21, sum of squares: 604800


GAP implementation

The degrees of irreducible representations can be computed using the CharacterDegrees and CharacterTable functions:

gap> CharacterDegrees(CharacterTable("J2"));
[ [ 1, 1 ], [ 14, 2 ], [ 21, 2 ], [ 36, 1 ], [ 63, 1 ], [ 70, 2 ], [ 90, 1 ], [ 126, 1 ], [ 160, 1 ], 
[ 175, 1 ], [ 189, 2 ], [ 224, 2 ], [ 225, 1 ],   [ 288, 1 ], [ 300, 1 ], [ 336, 1 ] ]
The full character table can be printed out using Irr and CharacterTable: [SHOW MORE]

External links