Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
938 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 938 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. #14539787 | C2 | semidirect |
| 2. #14539333 | C2 | semidirect |
| 3. #14528101 | C2 | semidirect |
| 4. #14527411 | C2 | semidirect |
| 5. #14527382 | C2 | semidirect |
| 8. #11763219 | C22 | semidirect |
| 10. #11763204 | C22 | semidirect |
| 11. #11763168 | C22 | semidirect |
| 18. #11762551 | C22 | semidirect |
| 19. #11762549 | C22 | semidirect |
| 220. C17 | #19006 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539787 | 2 |
| #14539333 | 2 |
| #14528101 | 2 |
| #14527411 | 2 |
| #14527382 | 2 |
| C2×C17×#562 | 2 |
| #19006 | 17 |