Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14558088 | C2 | semidirect |
| 3. #14557872 | C2 | semidirect |
| 4. #14557828 | C2 | semidirect |
| 5. #14557824 | C2 | semidirect |
| 6. #14557735 | C2 | semidirect |
| 8. #14557640 | C2 | semidirect |
| 9. #14557636 | C2 | semidirect |
| 10. #14557589 | C2 | semidirect |
| 11. C37×#462 | C2 | semidirect |
| 142. #462 | 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 |
|---|---|
| #14558088 | 2 |
| C4×#10596966 | 2 |
| #14557872 | 2 |
| #14557828 | 2 |
| #14557824 | 2 |
| #14557735 | 2 |
| #14557694 | 2 |
| #14557640 | 2 |
| #14557636 | 2 |
| #14557589 | 2 |
| C37×#462 | 2 |
| #3116 | 37 |