Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
992 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 992 conjugacy classes of subgroups — too many to draw. Only its 171 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14539795 | C2 | semidirect |
| 2. #14539129 | C2 | semidirect |
| 3. #14528090 | C2 | semidirect |
| 4. #14527419 | C2 | semidirect |
| 5. #14527395 | C2 | semidirect |
| 7. #11763366 | C22 | semidirect |
| 8. #11763204 | C22 | semidirect |
| 11. #11763168 | C22 | semidirect |
| 12. #11763168 | C22 | semidirect |
| 16. #11762866 | C22 | semidirect |
| 18. C2×#10587474 | C22 | semidirect |
| 19. #11762549 | C22 | semidirect |
| 20. #11762549 | C22 | semidirect |
| 245. C17 | #19056 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539795 | 2 |
| #14539129 | 2 |
| #14528090 | 2 |
| #14527419 | 2 |
| #14527395 | 2 |
| C17×#3549 | 2 |
| #19056 | 17 |