Order 4352.
2738 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14545430 | C2 | semidirect |
| 3. #14545429 | C2 | semidirect |
| 4. #14545427 | C2 | semidirect |
| 5. C2×#11763813 | C2 | semidirect |
| 6. D17⋊#423 | C2 | semidirect |
| 13. #11763816 | C22 | semidirect |
| 14. #11763815 | C22 | semidirect |
| 19. #11763813 | C22 | semidirect |
| 20. #11763812 | C22 | semidirect |
| 21. #11763810 | C22 | semidirect |
| 22. C2×C4⋊#3624 | C22 | semidirect |
| 191. C4×C17 | #568 | semidirect |
| 278. C17 | #60099 | semidirect |
| 383. C4 | #11763888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763888 | 2 |
| #14545430 | 2 |
| #14545429 | 2 |
| #14545427 | 2 |
| C2×#11763813 | 2 |
| D17⋊#423 | 2 |
| C4×#41×D17 | 2 |
| #60099 | 17 |