Order 4352.
714 conjugacy classes of subgroups.
The subgroup lattice has 398 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. C2×#10587544 | C4 | semidirect |
| 12. C2×C4×#3624 | C4 | semidirect |
| 20. #11762862 | C4 | semidirect |
| 23. #11762859 | C4 | semidirect |
| 27. C17×#431 | C4 | semidirect |
| 34. #10587677 | C8 | semidirect |
| 206. #431 | #595 | semidirect |
| 267. C17 | #7924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763827 | 2 |
| C4×#10587677 | 2 |
| #14543625 | 2 |
| D17×#431 | 2 |
| #7924 | 17 |