Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 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. #14558268 | C2 | semidirect |
| 2. #14558244 | C2 | semidirect |
| 3. #14557889 | C2 | semidirect |
| 4. #14557881 | C2 | semidirect |
| 5. #14557836 | C2 | semidirect |
| 6. #14557751 | C2 | semidirect |
| 8. #14557657 | C2 | semidirect |
| 9. C4×#10596941 | C2 | semidirect |
| 10. #14557615 | C2 | semidirect |
| 11. C37×#477 | C2 | semidirect |
| 128. #477 | D37 | semidirect |
| 134. C37 | #3361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558268 | 2 |
| #14558244 | 2 |
| #14557889 | 2 |
| #14557881 | 2 |
| #14557836 | 2 |
| #14557751 | 2 |
| #14557729 | 2 |
| #14557657 | 2 |
| C4×#10596941 | 2 |
| #14557615 | 2 |
| C37×#477 | 2 |
| #3361 | 37 |