Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 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 |
|---|---|---|
| 2. C4⋊Q8×D37 | C2 | semidirect |
| 3. #14557895 | C2 | semidirect |
| 4. #14557893 | C2 | semidirect |
| 5. #14557892 | C2 | semidirect |
| 6. #14557882 | C2 | semidirect |
| 7. #14557878 | C2 | semidirect |
| 8. #14557533 | C2 | semidirect |
| 9. #14557531 | C2 | semidirect |
| 10. #14557485 | C2 | semidirect |
| 11. C37×#489 | C2 | semidirect |
| 146. #489 | D37 | semidirect |
| 152. C37 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558082 | 2 |
| C4⋊Q8×D37 | 2 |
| #14557895 | 2 |
| #14557893 | 2 |
| #14557892 | 2 |
| #14557882 | 2 |
| #14557878 | 2 |
| #14557533 | 2 |
| #14557531 | 2 |
| #14557485 | 2 |
| C37×#489 | 2 |
| #3141 | 37 |