Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
520 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#11924559 | C2 | semidirect |
| 2. C22×C8×D37 | C2 | semidirect |
| 3. #14558046 | C2 | semidirect |
| 4. #14557771 | C2 | semidirect |
| 5. #14557770 | C2 | semidirect |
| 6. #14557769 | C2 | semidirect |
| 7. #14557765 | C2 | semidirect |
| 8. #14557764 | C2 | semidirect |
| 9. #14557570 | C2 | semidirect |
| 10. #14557528 | C2 | semidirect |
| 11. C37×#467 | C2 | semidirect |
| 15. C2×#10596941 | C22 | semidirect |
| 16. C2×D296 | C22 | semidirect |
| 31. #11924470 | C22 | semidirect |
| 32. #11924467 | C22 | semidirect |
| 33. #11924460 | C22 | semidirect |
| 34. #11924458 | C22 | semidirect |
| 35. #11924456 | C22 | semidirect |
| 36. C2×Q16×C37 | C22 | semidirect |
| 39. #107×C37 | C22 | semidirect |
| 40. #103×C37 | C22 | semidirect |
| 80. C8×D37 | D4 | semidirect |
| 118. C22×C37 | #135 | semidirect |
| 129. C2×D37 | #135 | semidirect |
| 150. #467 | D37 | semidirect |
| 157. C37 | #3050 | semidirect |
| 161. C2×Q16 | C2×D37 | semidirect |
| 181. #107 | C2×D37 | semidirect |
| 184. #103 | C2×D37 | semidirect |
| 274. C22 | #11924559 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924559 | 2 |
| C22×C8×D37 | 2 |
| #14558046 | 2 |
| #14557771 | 2 |
| #14557770 | 2 |
| #14557769 | 2 |
| #14557765 | 2 |
| #14557764 | 2 |
| #14557570 | 2 |
| #14557528 | 2 |
| C37×#467 | 2 |
| #3050 | 37 |