Generators and Representations for G = M22

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
M22 21 + 21 χ2 Z Pass Pass 92% 1 2.3 perm rep on 23 pts
M22 45 o 45(a) χ3 C Pass Pass 82%   14.0 exterior square of 10-dim rep of 2.M22
45(b) χ4 C Pass Pass 82%   14.0 exterior square of 10-dim rep of 2.M22
M22 55 + 55 χ5 Z Pass Pass 94% 3 13.0 perm rep on 77 pts
M22 99 + 99 χ6 Z Pass Pass 81% 39 43.3 perm rep on 330 pts, LLL'ed
M22 154 + 154 χ7 Z Pass Pass 96% 3 98.6 perm rep on 176 pts, LLL'ed
M22 210 + 210 χ8 Z Pass Pass 79% 66 194.5 perm rep on 462(b) pts, LLL'ed.
M22 231 + 231 χ9 Z Pass Pass 82% 42 231.1 perm rep on 462 pts, LLL'ed
2.M22 10 o 10(a) χ13 C 64%   1.3 Catalogue of lattices, Nebe & Sloane, split and reseeded
10(b) χ14 C 66%   1.2 Catalogue of lattices, Nebe & Sloane, split and reseeded
20 χ1314 Z 56% 15 2.4 Catalogue of lattices, Nebe & Sloane, reseeded
2.M22 56 + 56 χ15 Z 54% 18 14.9 perm rep on 352 pts
2.M22 120 + 120 χ16 Z 74% 29 63.6 perm rep on 352 pts
2.M22 126 o No representations available
2.M22 154 o No representations available
2.M22 210 + 210 χ21 Z 89% 10 185.7 perm rep on 660 pts
3.M22 21 o 21(a) χ32 Q(ω) 72%   5.3 perm rep on 693 pts
3.M22 45 o No representations available
3.M22 99 o No representations available
3.M22 105 o No representations available
3.M22 210 o No representations available
3.M22 231 o No representations available
4.M22 56 o No representations available
4.M22 144 o No representations available
4.M22 160 o No representations available
4.M22 176 o No representations available
6.M22 66 o No representations available
6.M22 120 o No representations available
6.M22 126 o No representations available
6.M22 210 o No representations available
12.M22 120 o No representations available
12.M22 144 o No representations available

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