Order 15104.
1338 conjugacy classes of subgroups.
The subgroup lattice has 368 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 7. #16837262 | C4 | semidirect |
| 12. C22×C42×C59 | C4 | semidirect |
| 15. C2×#95×C59 | C4 | semidirect |
| 74. C22×C4×C59 | C4⋊C4 | semidirect |
| 172. C4×C59 | #342 | semidirect |
| 191. C22×C42 | Dic59 | semidirect |
| 197. C2×#95 | Dic59 | semidirect |
| 199. C59 | #10846 | semidirect |
| 257. C22×C4 | C4⋊Dic59 | semidirect |
| 356. C4 | #16837169 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837262 | 2 |
| C2×#16837169 | 2 |
| C2×C4×C22⋊C4×C59 | 2 |
| #10846 | 59 |