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.