Linear representation theory of Conway group:Co3

This article gives specific information, namely, linear representation theory, about a particular group, namely: Conway group:Co3.
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Summary

Item	Value
degrees of irreducible representations over a splitting field (such as ${\overline {\mathbb {Q} }}$ or $\mathbb {C}$)	1, 23, 253, 253, 275, 896, 896, 1771, 2024, 3520, 3520, 4025, 5544, 7084, 8855, 9625, 9625, 20608, 20608, 23000, 26082, 31625, 31625, 31625, 31878, 40250, 57960, 63250, 73600, 80960, 91125, 93312, 129536, 129536, 177100, 184437, 221375, 226688, 246400, 249480, 253000, 255024 maximum: 255024, lcm: 82627776000, number: 42, sum of squares: 495766656000

GAP implementation

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

gap> CharacterDegrees(CharacterTable("Co3"));
[ [ 1, 1 ], [ 23, 1 ], [ 253, 2 ], [ 275, 1 ], [ 896, 2 ], [ 1771, 1 ], [ 2024, 1 ], [ 3520, 2 ],
[ 4025, 1 ], [ 5544, 1 ], [ 7084, 1 ], [ 8855, 1 ], [ 9625, 2 ], [ 20608, 2 ], [ 23000, 1 ], [ 26082, 1 ], 
[ 31625, 3 ], [ 31878, 1 ], [ 40250, 1 ], [ 57960, 1 ], [ 63250, 1 ], [ 73600, 1 ], [ 80960, 1 ],
[ 91125, 1 ], [ 93312, 1 ], [ 129536, 2 ], [ 177100, 1 ], [ 184437, 1 ], [ 221375, 1 ], [ 226688, 1 ], 
[ 246400, 1 ], [ 249480, 1 ], [ 253000, 1 ],  [ 255024, 1 ] ]