Order 4352.
696 conjugacy classes of subgroups.
The subgroup lattice has 406 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 6. #11763754 | C4 | semidirect |
| 7. #11763753 | C4 | semidirect |
| 12. C4×C4⋊#595 | C4 | semidirect |
| 17. #11763745 | C4 | semidirect |
| 24. #11762833 | C4 | semidirect |
| 26. M16×Dic17 | C4 | semidirect |
| 27. C17×#423 | C4 | semidirect |
| 208. #423 | #595 | semidirect |
| 270. C17 | #8052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545231 | 2 |
| C4×#10587677 | 2 |
| #14543664 | 2 |
| #14537416 | 2 |
| #8052 | 17 |