Generators and Representations for G = U3(3)

Standard generators

BBOX programs

Representations

Representation genus Representations available Test results Miscellaneous information
Group Dim Ind File Char Ring Checker CCL Sparsity Max Size (Kb) Comments
U3(3) 6 - 6 χ2 Z(i) Pass Pass 66%   0.7
U3(3) 7 + 7(a) χ3 Z Pass Pass 77% 1 0.7
U3(3) 7 o 7(b) χ4 Z(i) Pass Pass 71%   0.7
7(c) χ5 Z(i) Pass Pass 71%   0.7 complex conjugate of χ4
14(b) χ45 Z Pass Pass 80% 2 1.4
U3(3) 14 + 14(a) χ6 Z Pass Pass 83% 1 1.4
U3(3) 21 + 21(a) χ7 Z Pass Pass 92% 1 2.4
U3(3) 21 o 21(b) χ8 Z(i) Pass Pass 87%   2.4
21(c) χ9 Z(i) Pass Pass 87%   2.5 complex conjugate of χ8
42 χ89 Z Pass Pass 92% 2 8.0
U3(3) 27 + 27 χ10 Z Pass Pass 94% 1 3.5
U3(3) 28 o 28(a) χ11 Z(i) Pass Pass 83%   4.0
28(b) χ12 Z(i) Pass Pass 83%   4.0 complex conjugate of χ11
56 χ1112 Z Pass Pass 95% 2 13.5
U3(3) 32 o 32(a) χ13 C Pass Pass 72%   12.6 Ugh!!!
32(b) χ14 C Pass Pass 72%   12.7 complex conjugate of χ13
64 χ1314 Z Pass Pass 94% 1 17.5

Notes

We assume xy is in class 7A, xyy is in class 12A.


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