Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#10596930 | C2 | semidirect |
| 3. #14558109 | C2 | semidirect |
| 4. #14558007 | C2 | semidirect |
| 5. #14557749 | C2 | semidirect |
| 6. #14557739 | C2 | semidirect |
| 7. #14557543 | C2 | semidirect |
| 8. #14557530 | C2 | semidirect |
| 9. C37×#424 | C2 | semidirect |
| 18. #11924536 | C22 | semidirect |
| 19. #11924524 | C22 | semidirect |
| 26. #11924461 | C22 | semidirect |
| 27. #11924461 | C22 | semidirect |
| 28. #11924458 | C22 | semidirect |
| 32. C4⋊C8×C37 | C22 | semidirect |
| 123. #424 | D37 | semidirect |
| 126. C37 | #3042 | semidirect |
| 146. C4⋊C8 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924564 | 2 |
| C22×#10596930 | 2 |
| #14558109 | 2 |
| #14558007 | 2 |
| #14557749 | 2 |
| #14557739 | 2 |
| #14557543 | 2 |
| #14557530 | 2 |
| C37×#424 | 2 |
| #3042 | 37 |