Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
396 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 396 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. #14558244 | C2 | semidirect |
| 2. #14558204 | C2 | semidirect |
| 3. #14557896 | C2 | semidirect |
| 4. #14557881 | C2 | semidirect |
| 5. #14557832 | C2 | semidirect |
| 6. #14557729 | C2 | semidirect |
| 7. #14557727 | C2 | semidirect |
| 8. #14557660 | C2 | semidirect |
| 9. #14557644 | C2 | semidirect |
| 10. C4×#10596939 | C2 | semidirect |
| 11. C37×#476 | C2 | semidirect |
| 96. D148 | #41 | semidirect |
| 135. #476 | D37 | semidirect |
| 141. C37 | #3366 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558244 | 2 |
| #14558204 | 2 |
| #14557896 | 2 |
| #14557881 | 2 |
| #14557832 | 2 |
| #14557729 | 2 |
| #14557727 | 2 |
| #14557660 | 2 |
| #14557644 | 2 |
| C4×#10596939 | 2 |
| C37×#476 | 2 |
| #3366 | 37 |