Order 15104.
2606 conjugacy classes of subgroups.
The subgroup lattice has 378 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #21422322 | C2 | semidirect |
| 6. #95×Dic59 | C2 | semidirect |
| 12. C22×C4×Dic59 | C4 | semidirect |
| 16. #16837263 | C4 | semidirect |
| 48. C59⋊#95 | C2×C4 | semidirect |
| 93. C22×Dic59 | C42 | semidirect |
| 180. Dic59 | #381 | semidirect |
| 212. C59 | C4×#381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×Dic59 | 2 |
| C2×#16837263 | 2 |
| C2×C22⋊C4×Dic59 | 2 |
| #21422322 | 2 |
| #21422319 | 2 |
| #95×Dic59 | 2 |
| C59×C22⋊#95 | 2 |
| C4×#381 | 59 |