Faithful condensation using the 32-th subgroup. The order of this subgroup is 320.
This subgroup was constructed as the subgroup generated by
<s2^-1s1^-1s2^3s1, s1s2^2s1^-1s2^3, s2s1s2^-2s1s2s1, s2s1s2^2s1^-1s2^2, s2^-1s1s2^-4s1^-1,
s1^-1s2^5s1, s2^5>
inside its normalizer, the 33-th subgroup.
The corresponding permutation character is:
| 195 | 3 | 0 | 3 | 15 | 15 | 15 | 15 | 0 | 0 | 3 | 3 | 3 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
The dimensions of the modular irreducibles and their condensed dimensions are:
| 1 | 64 |
| 1 | 1 |
The dimensions of the projective indecomposable modules and their condensed dimensions are:
| 66 | 129 |
| 3 | 3 |