Linear representation theory of Conway group:Co3

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 ] ]