Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14558161 | C2 | semidirect |
| 3. #14557900 | C2 | semidirect |
| 4. #14557891 | C2 | semidirect |
| 5. #14557886 | C2 | semidirect |
| 6. #14557882 | C2 | semidirect |
| 7. #14557541 | C2 | semidirect |
| 9. C2×#11924461 | C2 | semidirect |
| 10. #14557488 | C2 | semidirect |
| 139. C37 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558161 | 2 |
| #14558104 | 2 |
| #14557900 | 2 |
| #14557891 | 2 |
| #14557886 | 2 |
| #14557882 | 2 |
| #14557541 | 2 |
| #14557534 | 2 |
| C2×#11924461 | 2 |
| #14557488 | 2 |
| C37×#416 | 2 |
| #3137 | 37 |