Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
222 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 60 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. #14558540 | C2 | semidirect |
| 4. C2×#11924590 | C2 | semidirect |
| 5. #14558409 | C2 | semidirect |
| 6. #14558403 | C2 | semidirect |
| 21. #11924460 | C4 | semidirect |
| 22. #11924458 | C4 | semidirect |
| 23. #11924456 | C4 | semidirect |
| 24. #103×C37 | C4 | semidirect |
| 113. C37 | #1938 | semidirect |
| 125. #103 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558540 | 2 |
| C2×#11924601 | 2 |
| #14558508 | 2 |
| C2×#11924590 | 2 |
| #14558409 | 2 |
| #14558403 | 2 |
| #14557528 | 2 |
| #1938 | 37 |