Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
408 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14558249 | C2 | semidirect |
| 2. #14558205 | C2 | semidirect |
| 3. #14557881 | C2 | semidirect |
| 4. #14557860 | C2 | semidirect |
| 5. #14557770 | C2 | semidirect |
| 6. #14557729 | C2 | semidirect |
| 7. #14557681 | C2 | semidirect |
| 8. C4×#10596941 | C2 | semidirect |
| 9. #14557598 | C2 | semidirect |
| 10. #14557528 | C2 | semidirect |
| 11. C37×#477 | C2 | semidirect |
| 137. #477 | D37 | semidirect |
| 144. C37 | #3305 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558249 | 2 |
| #14558205 | 2 |
| #14557881 | 2 |
| #14557860 | 2 |
| #14557770 | 2 |
| #14557729 | 2 |
| #14557681 | 2 |
| C4×#10596941 | 2 |
| #14557598 | 2 |
| #14557528 | 2 |
| C37×#477 | 2 |
| #3305 | 37 |