Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 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 |
|---|---|---|
| 1. C22×C4⋊Dic37 | C2 | semidirect |
| 2. #14557866 | C2 | semidirect |
| 3. #14557861 | C2 | semidirect |
| 4. #14557849 | C2 | semidirect |
| 5. #14557844 | C2 | semidirect |
| 6. #14557576 | C2 | semidirect |
| 7. #14557534 | C2 | semidirect |
| 8. #14557497 | C2 | semidirect |
| 18. #11924469 | C22 | semidirect |
| 19. #11924467 | C22 | semidirect |
| 20. #11924460 | C22 | semidirect |
| 21. #11924457 | C22 | semidirect |
| 140. C37 | #3092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊Dic37 | 2 |
| #14557866 | 2 |
| #14557861 | 2 |
| #14557849 | 2 |
| #14557844 | 2 |
| #14557576 | 2 |
| #14557534 | 2 |
| #14557497 | 2 |
| C37×#525 | 2 |
| #3092 | 37 |