Order 15104.
1170 conjugacy classes of subgroups.
The subgroup lattice has 356 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #21425049 | C2 | semidirect |
| 4. #21425020 | C2 | semidirect |
| 6. C4×#14273651 | C2 | semidirect |
| 22. C59×#533 | C4 | semidirect |
| 186. #533 | Dic59 | semidirect |
| 209. C59 | #21389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837455 | 2 |
| C4×#14273686 | 2 |
| #21425049 | 2 |
| #21425020 | 2 |
| #21424409 | 2 |
| C4×#14273651 | 2 |
| C2×C59×#533 | 2 |
| #21389 | 59 |