Faithful condensation using the 7-th subgroup. The order of this subgroup is 5.
This subgroup was constructed as the subgroup generated by
<s2s1^-1s2s1>
inside its normalizer, the 24-th subgroup.
The corresponding permutation character is:
| 12480 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10 | 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
The dimensions of the modular irreducibles and their condensed dimensions are:
| 1 | 3 | 3 | 3 | 3 | 8 | 8 | 9 | 9 | 9 | 9 | 24 | 24 | 24 | 24 |
| 1 | 1 | 1 | 1 | 1 | 2 | 2 | 1 | 1 | 1 | 1 | 4 | 4 | 4 | 4 |
The dimensions of the projective indecomposable modules and their condensed dimensions are:
| 704 | 1024 | 1024 | 1024 | 1024 | 384 | 384 | 576 | 576 | 576 | 576 | 192 | 192 | 192 | 192 |
| 144 | 208 | 208 | 208 | 208 | 78 | 78 | 116 | 116 | 116 | 116 | 38 | 38 | 38 | 38 |