| 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
|