Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
354 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14558240 | C2 | semidirect |
| 3. #14557938 | C2 | semidirect |
| 4. #14557875 | C2 | semidirect |
| 5. #14557847 | C2 | semidirect |
| 6. #14557829 | C2 | semidirect |
| 7. #14557824 | C2 | semidirect |
| 8. #14557779 | C2 | semidirect |
| 9. C4×#10596930 | C2 | semidirect |
| 10. #14557575 | C2 | semidirect |
| 11. C37×#436 | C2 | semidirect |
| 131. #436 | D37 | semidirect |
| 133. C37 | #3357 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558248 | 2 |
| #14558240 | 2 |
| #14557938 | 2 |
| #14557875 | 2 |
| #14557847 | 2 |
| #14557829 | 2 |
| #14557824 | 2 |
| #14557779 | 2 |
| C4×#10596930 | 2 |
| #14557575 | 2 |
| C37×#436 | 2 |
| #3357 | 37 |