Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
310 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. #14557549 | C2 | semidirect |
| 3. #14557529 | C2 | semidirect |
| 4. #14557501 | C2 | semidirect |
| 5. #14557304 | C2 | semidirect |
| 6. #14557297 | C2 | semidirect |
| 7. C37×#568 | C2 | semidirect |
| 10. #11924566 | C4 | semidirect |
| 12. #11924561 | C4 | semidirect |
| 120. #568 | D37 | semidirect |
| 126. C37 | #1881 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558331 | 2 |
| #14557549 | 2 |
| #14557529 | 2 |
| #14557501 | 2 |
| #14557304 | 2 |
| #14557297 | 2 |
| C37×#568 | 2 |
| #1881 | 37 |