Linear representation theory of Mathieu groups

From Groupprops

This article gives specific information, namely, linear representation theory, about a family of groups, namely: Mathieu group.
View linear representation theory of group families | View other specific information about Mathieu group

Degree Mathieu group Order of group Sporadic simple? Simple? Almost simple? Number of irreducible representations equals number of conjugacy classes Degrees of irreducible representations Linear representation theory page
9 Mathieu group:M9 72 No No No 6 1,1,1,1,2,8 linear representation theory of Mathieu group:M9
10 Mathieu group:M10 720 No No Yes 8 1,1,9,9,10,10,10,16 linear representation theory of Mathieu group:M10
11 Mathieu group:M11 7920 Yes Yes Yes 10 1,10,10,10,11,16,16,44,45,55 linear representation theory of Mathieu group:M11
12 Mathieu group:M12 95040 Yes Yes Yes 15 1,11,11,16,16,45,54,55,55,55,66,99,120,144,176 linear representation theory of Mathieu group:M12
21 projective special linear group:PSL(3,4) 20160 No Yes Yes 10 1,20,35,35,35,45,45,63,63,64 linear representation theory of projective special linear group:PSL(3,4)
22 Mathieu group:M22 443520 Yes Yes Yes 12 1,21,45,45,55,99,154,210,231,280,385 linear representation theory of Mathieu group:M22
23 Mathieu group:M23 10200960 Yes Yes Yes 17 too long to list linear representation theory of Mathieu group:M23
24 Mathieu group:M24 244823040 Yes Yes Yes 26 too long to list linear representation theory of Mathieu group:M24