Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
374 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14558253 | C2 | semidirect |
| 2. #14557936 | C2 | semidirect |
| 3. #14557868 | C2 | semidirect |
| 4. #14557854 | C2 | semidirect |
| 5. #14557815 | C2 | semidirect |
| 6. #14557813 | C2 | semidirect |
| 7. #14557777 | C2 | semidirect |
| 8. C4×#10596940 | C2 | semidirect |
| 9. #14557611 | C2 | semidirect |
| 10. #14557573 | C2 | semidirect |
| 99. #64436 | #41 | semidirect |
| 134. C37 | #3353 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558253 | 2 |
| #14557936 | 2 |
| #14557868 | 2 |
| #14557854 | 2 |
| #14557815 | 2 |
| #14557813 | 2 |
| #14557777 | 2 |
| C4×#10596940 | 2 |
| #14557611 | 2 |
| #14557573 | 2 |
| C37×#547 | 2 |
| #3353 | 37 |