Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14558258 | C2 | semidirect |
| 4. #14557838 | C2 | semidirect |
| 7. #14557740 | C2 | semidirect |
| 8. C8×Dic74 | C2 | semidirect |
| 9. #14557625 | C2 | semidirect |
| 11. C37×#487 | C2 | semidirect |
| 119. #487 | D37 | semidirect |
| 127. C37 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558258 | 2 |
| #14558257 | 2 |
| #14557889 | 2 |
| #14557838 | 2 |
| #14557810 | 2 |
| #14557758 | 2 |
| #14557740 | 2 |
| C8×Dic74 | 2 |
| #14557625 | 2 |
| C4×#10596930 | 2 |
| C37×#487 | 2 |
| #3364 | 37 |