Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1078 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 1078 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. #14539779 | C2 | semidirect |
| 2. #14539229 | C2 | semidirect |
| 3. #14528090 | C2 | semidirect |
| 4. #14528073 | C2 | semidirect |
| 5. #14527419 | C2 | semidirect |
| 6. #14527395 | C2 | semidirect |
| 7. C17×#3549 | C2 | semidirect |
| 9. #11763359 | C22 | semidirect |
| 10. #11763204 | C22 | semidirect |
| 12. #11763199 | C22 | semidirect |
| 13. #11763199 | C22 | semidirect |
| 15. #11763168 | C22 | semidirect |
| 19. #11762866 | C22 | semidirect |
| 20. C2×#10587474 | C22 | semidirect |
| 21. #11762549 | C22 | semidirect |
| 22. #11762549 | C22 | semidirect |
| 167. #3549 | D17 | semidirect |
| 271. C17 | #19052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539779 | 2 |
| #14539229 | 2 |
| #14528090 | 2 |
| #14528073 | 2 |
| #14527419 | 2 |
| #14527395 | 2 |
| C17×#3549 | 2 |
| #19052 | 17 |