
(order of the group ) 
The group 
number of irreducible representations (= number of conjugacy classes) 
degrees of irreducible representations 
number of irreducible representations of (correspond to irreducible representations of with center in the kernel 
degrees of these irreducible representations 
number of irreducible representations of that are not with center in the kernel 
degrees of these irreducible representations 
Linear representation theory information

4 
24 
special linear group:SL(2,3) 
7 
1,1,1,2,2,2,3 
4 
1,1,1,3 
3 
2,2,2 
linear representation theory of special linear group:SL(2,3)

5 
120 
special linear group:SL(2,5) 
9 
1,2,2,3,3,4,4,5,6 
5 
1,3,3,4,5 
4 
2,2,4,6 
linear representation theory of special linear group:SL(2,5)

6 
720 
special linear group:SL(2,9) 
13 
1,4,4,5,5,8,8,8,8,9,10,10,10 
7 
1,5,5,8,8,9,10 
6 
4,4,8,8,10,10 
linear representation theory of special linear group:SL(2,9)

7 
5040 
double cover of alternating group:A7 






linear representation theory of double cover of alternating group:A7

8 
40320 
double cover of alternating group:A8 






linear representation theory of double cover of alternating group:A8

9 
362880 
double cover of alternating group:A9 






linear representation theory of double cover of alternating group:A9
