Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
374 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14558257 | C2 | semidirect |
| 3. #14557870 | C2 | semidirect |
| 4. #14557860 | C2 | semidirect |
| 5. #14557815 | C2 | semidirect |
| 6. #14557810 | C2 | semidirect |
| 7. #14557780 | C2 | semidirect |
| 8. C4×#10596930 | C2 | semidirect |
| 9. #14557612 | C2 | semidirect |
| 10. #14557574 | C2 | semidirect |
| 11. C37×#500 | C2 | semidirect |
| 98. C8×C37 | #41 | semidirect |
| 125. #500 | D37 | semidirect |
| 134. C37 | #3353 | semidirect |
| 222. C8 | #10596966 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558257 | 2 |
| #14558186 | 2 |
| #14557870 | 2 |
| #14557860 | 2 |
| #14557815 | 2 |
| #14557810 | 2 |
| #14557780 | 2 |
| C4×#10596930 | 2 |
| #14557612 | 2 |
| #14557574 | 2 |
| C37×#500 | 2 |
| #3353 | 37 |