Representations of Simple Groups (Genera With No Computed Representations)

The following list is based on character tables in GAP and the list of Hiss and Malle (Low-dimensional representations of quasi-simple groups, LMS J. Comput. Math. 4 (2001) 22-63) with the corrigenda (same J. 5 (2002) 95-126).

We exclude from this table:

Each line in the table corresponds to a representation genus. There may be several representations corresponding to each such genus. The highest dimension represented is 250.

Group Dimension Indicator Present  
U5(2) 10 - No  
U3(7) 42 - No  
U7(2) 42 - No  
U7(2) 43 o No  
U4(4) 51 o No 5
U3(8) 56 - No  
U5(3) 60 - No  
U5(3) 61 o No  
U3(9) 72 - No  
U3(9) 73 o No 10
U8(2) 85 o No  
U8(2) 86 + No  
L3(5) 96 o No  
U4(5) 104 o No  
U3(11) 110 - No 15
U5(2) 110 - No  
U3(11) 111 o No  
G2(5) 124 + No  
S4(7) 150 o No  
He 153 o No 20
U3(13) 156 - No  
U3(13) 157 o No  
U3(13) 157 + No  
U9(2) 170 - No  
S6(7) 171 o No 25
U6(3) 182 - No  
U6(3) 183 + No  
U5(4) 204 o No  
3D4(3) 219 + No  
U5(2) 220 o No 30
S8(2) 238 + No  
U3(16) 240 - No  
U3(16) 241 o No  

There are 33 genera still to do.


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