Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14558090 | C2 | semidirect |
| 3. #14557875 | C2 | semidirect |
| 4. #14557829 | C2 | semidirect |
| 5. #14557824 | C2 | semidirect |
| 6. #14557744 | C2 | semidirect |
| 7. #14557739 | C2 | semidirect |
| 9. #14557641 | C2 | semidirect |
| 10. #14557635 | C2 | semidirect |
| 11. C37×#432 | C2 | semidirect |
| 147. #432 | D37 | semidirect |
| 148. C37 | #3116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558090 | 2 |
| C4×#10596962 | 2 |
| #14557875 | 2 |
| #14557829 | 2 |
| #14557824 | 2 |
| #14557744 | 2 |
| #14557739 | 2 |
| #14557697 | 2 |
| #14557641 | 2 |
| #14557635 | 2 |
| C37×#432 | 2 |
| #3116 | 37 |