Linear representation theory of Conway group:Co1

GAP implementation
Some information on its irreducible representations is, and we use the symbol "Co1" to access this information. The degrees of irreducible representations can be computed using the CharacterDegrees and CharacterTable functions.

gap> CharacterDegrees(CharacterTable("Co1")); [ [ 1, 1 ], [ 276, 1 ], [ 299, 1 ], [ 1771, 1 ], [ 8855, 1 ], [ 17250, 1 ], [ 27300, 1 ], [ 37674, 1 ], [ 44275, 1 ], [ 80730, 1 ], [ 94875, 1 ],  [ 313950, 1 ], [ 345345, 1 ], [ 376740, 1 ], [ 483000, 1 ], [ 644644, 1 ],  [ 673750, 2 ], [ 822250, 1 ], [ 871884, 1 ], [ 1434510, 1 ],  [ 1450449, 1 ], [ 1771000, 1 ], [ 1821600, 1 ], [ 2055625, 1 ],  [ 2417415, 1 ], [ 2464749, 2 ], [ 2816856, 1 ], [ 2877875, 1 ],  [ 4100096, 1 ], [ 5494125, 1 ], [ 5801796, 1 ], [ 7628985, 1 ],  [ 9221850, 1 ], [ 9669660, 1 ], [ 12432420, 1 ], [ 16347825, 1 ],  [ 20083140, 1 ], [ 21049875, 1 ], [ 21528000, 1 ], [ 21579129, 1 ],  [ 23244375, 1 ], [ 24174150, 1 ], [ 24667500, 1 ], [ 24794000, 1 ],  [ 25900875, 1 ], [ 31574400, 1 ], [ 40166280, 1 ], [ 40370176, 1 ],  [ 44013375, 1 ], [ 46621575, 1 ], [ 51571520, 1 ], [ 55255200, 1 ],  [ 57544344, 1 ], [ 60435375, 1 ], [ 65270205, 1 ], [ 66602250, 1 ],  [ 77702625, 1 ], [ 83720000, 1 ], [ 85250880, 1 ], [ 91547820, 1 ],  [ 100725625, 1 ], [ 106142400, 1 ], [ 109882500, 1 ], [ 150732800, 1 ],  [ 163478250, 1 ], [ 184184000, 1 ], [ 185912496, 1 ], [ 185955000, 1 ],  [ 191102976, 1 ], [ 201451250, 1 ], [ 205395750, 1 ], [ 207491625, 1 ],  [ 210974400, 1 ], [ 215547904, 1 ], [ 219648000, 1 ], [ 241741500, 1 ],  [ 247235625, 1 ], [ 251756505, 1 ], [ 257857600, 1 ], [ 259008750, 1 ],  [ 267014475, 1 ], [ 280280000, 1 ], [ 292953024, 1 ], [ 299710125, 1 ],  [ 302176875, 1 ], [ 309429120, 1 ], [ 326956500, 1 ], [ 360062976, 1 ],  [ 387317700, 1 ], [ 402902500, 1 ], [ 464257024, 1 ], [ 469945476, 2 ],  [ 483483000, 1 ], [ 502078500, 1 ], [ 503513010, 1 ], [ 504627200, 1 ],  [ 522161640, 1 ], [ 551675124, 1 ] ]