Linear representation theory of Conway group:Co1

This article gives specific information, namely, linear representation theory, about a particular group, namely: Conway group:Co1.
View linear representation theory of particular groups | View other specific information about Conway group:Co1

Summary

Item	Value
degrees of irreducible representations over a splitting field (such as ${\overline {\mathbb {Q} }}$ or $\mathbb {C}$)	Too long to list -- see #GAP implementation number: 101, sum of squares: 4157776806543360000, maximum: 551675124, quasirandom degree: 274

External links

• Co1 on the Atlas of Finite Groups

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 ],
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  [ 483483000, 1 ], [ 502078500, 1 ], [ 503513010, 1 ], [ 504627200, 1 ],
  [ 522161640, 1 ], [ 551675124, 1 ] ]