Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
354 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 354 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. #14558240 | C2 | semidirect |
| 2. #14557936 | C2 | semidirect |
| 3. #14557874 | C2 | semidirect |
| 4. #14557844 | C2 | semidirect |
| 5. #14557825 | C2 | semidirect |
| 6. #14557823 | C2 | semidirect |
| 7. #14557777 | C2 | semidirect |
| 8. C4×#10596940 | C2 | semidirect |
| 9. #14557611 | C2 | semidirect |
| 10. #14557576 | C2 | semidirect |
| 133. C37 | #3357 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558240 | 2 |
| #14557936 | 2 |
| #14557874 | 2 |
| #14557844 | 2 |
| #14557825 | 2 |
| #14557823 | 2 |
| #14557777 | 2 |
| C4×#10596940 | 2 |
| #14557611 | 2 |
| #14557576 | 2 |
| C37×#555 | 2 |
| #3357 | 37 |