Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 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. #14558263 | C2 | semidirect |
| 5. #14557816 | C2 | semidirect |
| 7. #14557740 | C2 | semidirect |
| 8. #14557663 | C2 | semidirect |
| 9. #14557637 | C2 | semidirect |
| 11. C37×#487 | C2 | semidirect |
| 120. #487 | D37 | semidirect |
| 128. C37 | #3369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558263 | 2 |
| #14558257 | 2 |
| #14557894 | 2 |
| #14557820 | 2 |
| #14557816 | 2 |
| #14557758 | 2 |
| #14557740 | 2 |
| #14557663 | 2 |
| #14557637 | 2 |
| C4×#10596930 | 2 |
| C37×#487 | 2 |
| #3369 | 37 |