Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 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. #14558269 | C2 | semidirect |
| 2. #14558244 | C2 | semidirect |
| 3. #14557886 | C2 | semidirect |
| 4. #14557835 | C2 | semidirect |
| 5. #14557825 | C2 | semidirect |
| 6. #14557747 | C2 | semidirect |
| 8. C8×Dic74 | C2 | semidirect |
| 9. C4×#10596930 | C2 | semidirect |
| 10. #14557613 | C2 | semidirect |
| 11. C37×#486 | C2 | semidirect |
| 126. #486 | D37 | semidirect |
| 134. C37 | #3361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558269 | 2 |
| #14558244 | 2 |
| #14557886 | 2 |
| #14557835 | 2 |
| #14557825 | 2 |
| #14557747 | 2 |
| #14557725 | 2 |
| C8×Dic74 | 2 |
| C4×#10596930 | 2 |
| #14557613 | 2 |
| C37×#486 | 2 |
| #3361 | 37 |