Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 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. #14558016 | C2 | semidirect |
| 2. #14557854 | C2 | semidirect |
| 3. #14557854 | C2 | semidirect |
| 4. #14557849 | C2 | semidirect |
| 5. #14557844 | C2 | semidirect |
| 6. #14557576 | C2 | semidirect |
| 7. #14557569 | C2 | semidirect |
| 8. #14557538 | C2 | semidirect |
| 9. C2×#11924457 | C2 | semidirect |
| 10. #14557500 | C2 | semidirect |
| 18. #11924495 | C22 | semidirect |
| 20. C2×C4⋊Dic37 | C22 | semidirect |
| 21. #11924469 | C22 | semidirect |
| 22. #11924469 | C22 | semidirect |
| 23. #11924469 | C22 | semidirect |
| 24. #11924467 | C22 | semidirect |
| 25. #11924467 | C22 | semidirect |
| 26. #11924467 | C22 | semidirect |
| 31. C22⋊#64436 | C22 | semidirect |
| 32. C22⋊#64436 | C22 | semidirect |
| 146. C37 | #3096 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558016 | 2 |
| #14557854 | 2 |
| #14557849 | 2 |
| #14557844 | 2 |
| #14557576 | 2 |
| #14557569 | 2 |
| #14557538 | 2 |
| C2×#11924457 | 2 |
| #14557500 | 2 |
| C37×#535 | 2 |
| #3096 | 37 |