Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
458 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 177 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. #14558299 | C2 | semidirect |
| 3. #14557654 | C2 | semidirect |
| 4. #14557649 | C2 | semidirect |
| 5. C2×#11924462 | C2 | semidirect |
| 6. M16×Dic37 | C2 | semidirect |
| 7. C37×#430 | C2 | semidirect |
| 9. #11924569 | C4 | semidirect |
| 10. #11924564 | C4 | semidirect |
| 12. #11924544 | C22 | semidirect |
| 17. #11924462 | C22 | semidirect |
| 18. #11924462 | C22 | semidirect |
| 19. #11924446 | C22 | semidirect |
| 20. C8×Dic37 | C22 | semidirect |
| 23. #108×C37 | C22 | semidirect |
| 44. Dic148 | C2×C4 | semidirect |
| 45. D296 | C2×C4 | semidirect |
| 46. #10596930 | C2×C4 | semidirect |
| 90. #430 | D37 | semidirect |
| 93. C37 | #2956 | semidirect |
| 105. #108 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558333 | 2 |
| #14558299 | 2 |
| #14557654 | 2 |
| #14557649 | 2 |
| C2×#11924462 | 2 |
| M16×Dic37 | 2 |
| C37×#430 | 2 |
| #2956 | 37 |