Order 3328.
1158 conjugacy classes of subgroups.
The subgroup lattice has 404 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13112679 | C2 | semidirect |
| 28. C23×C4×C13 | C8 | semidirect |
| 218. C23×C4 | #1055 | semidirect |
| 296. C13 | #8698 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114746 | 2 |
| #13112679 | 2 |
| C22×C13×#95 | 2 |
| #8698 | 13 |