Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
370 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14558258 | C2 | semidirect |
| 3. #14557882 | C2 | semidirect |
| 4. #14557816 | C2 | semidirect |
| 5. #14557815 | C2 | semidirect |
| 8. C8×Dic74 | C2 | semidirect |
| 11. C37×#487 | C2 | semidirect |
| 95. Dic74 | SD16 | semidirect |
| 122. #487 | D37 | semidirect |
| 130. C37 | #3359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558258 | 2 |
| #14558198 | 2 |
| #14557882 | 2 |
| #14557816 | 2 |
| #14557815 | 2 |
| #14557737 | 2 |
| #14557735 | 2 |
| C8×Dic74 | 2 |
| C4×#10596930 | 2 |
| #14557618 | 2 |
| C37×#487 | 2 |
| #3359 | 37 |