Linear representation theory of Harada-Norton group

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

gap> CharacterDegrees(CharacterTable("HN")); [ [ 1, 1 ], [ 133, 2 ], [ 760, 1 ], [ 3344, 1 ], [ 8778, 2 ], [ 8910, 1 ], [ 9405, 1 ], [ 16929, 1 ], [ 35112, 2 ], [ 65835, 2 ], [ 69255, 2 ], [ 214016, 1 ], [ 267520, 1 ], [ 270864, 1 ], [ 365750, 1 ], [ 374528, 2 ], [ 406296, 1 ], [ 653125, 1 ], [ 656250, 2 ], [ 718200, 2 ], [ 1053360, 1 ],  [ 1066527, 2 ], [ 1185030, 1 ], [ 1354320, 1 ], [ 1361920, 3 ], [ 1575936, 1 ], [ 1625184, 1 ], [ 2031480, 1 ], [ 2375000, 1 ], [ 2407680, 1 ],  [ 2661120, 1 ], [ 2784375, 1 ], [ 2985984, 1 ], [ 3200000, 1 ], [ 3424256, 1 ], [ 3878280, 1 ], [ 4156250, 1 ], [ 4561920, 1 ], [ 4809375, 1 ],  [ 5103000, 2 ], [ 5332635, 1 ], [ 5878125, 1 ] ]