Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
408 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 408 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. #14558083 | C2 | semidirect |
| 2. #14557943 | C2 | semidirect |
| 3. #14557923 | C2 | semidirect |
| 4. #14557899 | C2 | semidirect |
| 5. #14557892 | C2 | semidirect |
| 6. #14557784 | C2 | semidirect |
| 7. #14557781 | C2 | semidirect |
| 8. C4×#10596941 | C2 | semidirect |
| 9. C4×#10596939 | C2 | semidirect |
| 10. C4×#10596934 | C2 | semidirect |
| 11. C37×#529 | C2 | semidirect |
| 110. #64436 | #41 | semidirect |
| 139. #529 | D37 | semidirect |
| 149. C37 | #3171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558083 | 2 |
| #14557943 | 2 |
| #14557923 | 2 |
| #14557899 | 2 |
| #14557892 | 2 |
| #14557784 | 2 |
| #14557781 | 2 |
| C4×#10596941 | 2 |
| C4×#10596939 | 2 |
| C4×#10596934 | 2 |
| C37×#529 | 2 |
| #3171 | 37 |