Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
284 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 68 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. C2×#11924590 | C2 | semidirect |
| 4. #14558484 | C2 | semidirect |
| 5. #14558407 | C2 | semidirect |
| 6. #14558406 | C2 | semidirect |
| 21. #11924458 | C4 | semidirect |
| 22. #11924457 | C4 | semidirect |
| 23. #11924456 | C4 | semidirect |
| 24. #102×C37 | C4 | semidirect |
| 142. C37 | #1936 | semidirect |
| 157. #102 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924598 | 2 |
| C2×#11924590 | 2 |
| #14558485 | 2 |
| #14558484 | 2 |
| #14558407 | 2 |
| #14558406 | 2 |
| #102×D37 | 2 |
| #1936 | 37 |