Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 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. #14558187 | C2 | semidirect |
| 2. #14557929 | C2 | semidirect |
| 3. #14557857 | C2 | semidirect |
| 4. #14557849 | C2 | semidirect |
| 5. #14557820 | C2 | semidirect |
| 6. #14557813 | C2 | semidirect |
| 7. #14557784 | C2 | semidirect |
| 8. C4×#10596939 | C2 | semidirect |
| 9. #14557611 | C2 | semidirect |
| 10. #14557576 | C2 | semidirect |
| 11. C37×#555 | C2 | semidirect |
| 101. #64436 | #41 | semidirect |
| 128. #555 | D37 | semidirect |
| 139. C37 | #3354 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558187 | 2 |
| #14557929 | 2 |
| #14557857 | 2 |
| #14557849 | 2 |
| #14557820 | 2 |
| #14557813 | 2 |
| #14557784 | 2 |
| C4×#10596939 | 2 |
| #14557611 | 2 |
| #14557576 | 2 |
| C37×#555 | 2 |
| #3354 | 37 |