Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14558229 | C2 | semidirect |
| 2. #14557935 | C2 | semidirect |
| 3. #14557858 | C2 | semidirect |
| 4. #14557847 | C2 | semidirect |
| 5. #14557834 | C2 | semidirect |
| 6. #14557786 | C2 | semidirect |
| 7. C4×D296 | C2 | semidirect |
| 8. #14557575 | C2 | semidirect |
| 9. C37×#436 | C2 | semidirect |
| 110. #436 | D37 | semidirect |
| 112. C37 | #3355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558229 | 2 |
| #14557935 | 2 |
| #14557858 | 2 |
| #14557847 | 2 |
| #14557834 | 2 |
| #14557786 | 2 |
| C4×D296 | 2 |
| #14557575 | 2 |
| C37×#436 | 2 |
| #3355 | 37 |