Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14558080 | C2 | semidirect |
| 2. #14557930 | C2 | semidirect |
| 3. #14557908 | C2 | semidirect |
| 4. #14557878 | C2 | semidirect |
| 5. #14557787 | C2 | semidirect |
| 6. #14557785 | C2 | semidirect |
| 7. #14557783 | C2 | semidirect |
| 8. #14557646 | C2 | semidirect |
| 9. #14557643 | C2 | semidirect |
| 10. #14557485 | C2 | semidirect |
| 11. C37×#442 | C2 | semidirect |
| 94. C8×C37 | #41 | semidirect |
| 96. #64436 | #41 | semidirect |
| 128. #442 | D37 | semidirect |
| 130. C37 | #3184 | semidirect |
| 215. C8 | #10596962 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558080 | 2 |
| #14557930 | 2 |
| #14557908 | 2 |
| #14557878 | 2 |
| #14557787 | 2 |
| #14557785 | 2 |
| #14557783 | 2 |
| #14557646 | 2 |
| #14557643 | 2 |
| #14557485 | 2 |
| C37×#442 | 2 |
| #3184 | 37 |