Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14558065 | C2 | semidirect |
| 2. #14557933 | C2 | semidirect |
| 3. #14557916 | C2 | semidirect |
| 4. #14557886 | C2 | semidirect |
| 5. #14557792 | C2 | semidirect |
| 7. #14557778 | C2 | semidirect |
| 8. #14557641 | C2 | semidirect |
| 9. #14557633 | C2 | semidirect |
| 10. #14557485 | C2 | semidirect |
| 11. C37×#442 | C2 | semidirect |
| 117. #442 | D37 | semidirect |
| 121. C37 | #3183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558065 | 2 |
| #14557933 | 2 |
| #14557916 | 2 |
| #14557886 | 2 |
| #14557792 | 2 |
| #14557783 | 2 |
| #14557778 | 2 |
| #14557641 | 2 |
| #14557633 | 2 |
| #14557485 | 2 |
| C37×#442 | 2 |
| #3183 | 37 |