Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 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. #14558157 | C2 | semidirect |
| 2. #14557917 | C2 | semidirect |
| 3. #14557895 | C2 | semidirect |
| 4. #14557780 | C2 | semidirect |
| 5. #14557775 | C2 | semidirect |
| 7. #14557632 | C2 | semidirect |
| 8. #14557627 | C2 | semidirect |
| 9. #14557615 | C2 | semidirect |
| 10. #14557487 | C2 | semidirect |
| 11. C37×#500 | C2 | semidirect |
| 119. #500 | 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 |
|---|---|
| #14558157 | 2 |
| #14557917 | 2 |
| #14557895 | 2 |
| #14557780 | 2 |
| #14557775 | 2 |
| #14557770 | 2 |
| #14557632 | 2 |
| #14557627 | 2 |
| #14557615 | 2 |
| #14557487 | 2 |
| C37×#500 | 2 |
| #3175 | 37 |