Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
446 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 2. C2×#11924569 | C2 | semidirect |
| 3. C2×#11924566 | C2 | semidirect |
| 4. #14558299 | C2 | semidirect |
| 5. #14557807 | C2 | semidirect |
| 6. #14557795 | C2 | semidirect |
| 7. #14557581 | C2 | semidirect |
| 8. C2×#11924454 | C2 | semidirect |
| 9. C37×#413 | C2 | semidirect |
| 22. C2×#10596942 | C22 | semidirect |
| 24. C2×#10596940 | C22 | semidirect |
| 30. #11924471 | C22 | semidirect |
| 31. #11924454 | C22 | semidirect |
| 35. #101×C37 | C22 | semidirect |
| 36. #100×C37 | C22 | semidirect |
| 150. #413 | D37 | semidirect |
| 152. C37 | #3069 | semidirect |
| 178. #101 | C2×D37 | semidirect |
| 179. #100 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558331 | 2 |
| C2×#11924569 | 2 |
| C2×#11924566 | 2 |
| #14558299 | 2 |
| #14557807 | 2 |
| #14557795 | 2 |
| #14557581 | 2 |
| C2×#11924454 | 2 |
| C37×#413 | 2 |
| #3069 | 37 |