Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
350 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 350 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. #14558257 | C2 | semidirect |
| 2. #14558244 | C2 | semidirect |
| 3. #14557889 | C2 | semidirect |
| 4. #14557842 | C2 | semidirect |
| 5. #14557820 | C2 | semidirect |
| 7. #14557735 | C2 | semidirect |
| 8. C8×Dic74 | C2 | semidirect |
| 9. #14557618 | C2 | semidirect |
| 11. C37×#487 | C2 | semidirect |
| 124. #487 | D37 | semidirect |
| 132. C37 | #3360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558257 | 2 |
| #14558244 | 2 |
| #14557889 | 2 |
| #14557842 | 2 |
| #14557820 | 2 |
| #14557751 | 2 |
| #14557735 | 2 |
| C8×Dic74 | 2 |
| #14557618 | 2 |
| C4×D296 | 2 |
| C37×#487 | 2 |
| #3360 | 37 |