Order 15104.
1510 conjugacy classes of subgroups.
The subgroup lattice has 394 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #21424172 | C2 | semidirect |
| 6. #21423827 | C2 | semidirect |
| 11. C2×#14273683 | C4 | semidirect |
| 12. C2×#14273683 | C4 | semidirect |
| 16. C22×Dic59⋊C4 | C4 | semidirect |
| 18. C22×C4×Dic59 | C4 | semidirect |
| 224. C59 | #20688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14273683 | 2 |
| #21426474 | 2 |
| #21424172 | 2 |
| #21424170 | 2 |
| #21424168 | 2 |
| #21423827 | 2 |
| C59×#1819 | 2 |
| #20688 | 59 |