Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 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. #14558148 | C2 | semidirect |
| 2. #14557937 | C2 | semidirect |
| 3. #14557916 | C2 | semidirect |
| 4. #14557891 | C2 | semidirect |
| 5. #14557778 | C2 | semidirect |
| 6. #14557775 | C2 | semidirect |
| 8. #14557633 | C2 | semidirect |
| 9. C4×Dic148 | C2 | semidirect |
| 10. #14557487 | C2 | semidirect |
| 11. C4×D8×C37 | C2 | semidirect |
| 127. C4×D8 | D37 | semidirect |
| 129. C37 | #3175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558148 | 2 |
| #14557937 | 2 |
| #14557916 | 2 |
| #14557891 | 2 |
| #14557778 | 2 |
| #14557775 | 2 |
| #14557766 | 2 |
| #14557633 | 2 |
| C4×Dic148 | 2 |
| #14557487 | 2 |
| C4×D8×C37 | 2 |
| #3175 | 37 |