Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
408 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14558084 | C2 | semidirect |
| 2. #14558068 | C2 | semidirect |
| 3. #14557922 | C2 | semidirect |
| 4. #14557899 | C2 | semidirect |
| 5. #14557895 | C2 | semidirect |
| 6. #14557787 | C2 | semidirect |
| 7. #14557780 | C2 | semidirect |
| 8. #14557620 | C2 | semidirect |
| 9. #14557615 | C2 | semidirect |
| 10. #14557485 | C2 | semidirect |
| 11. C37×#501 | C2 | semidirect |
| 109. C8×C37 | #41 | semidirect |
| 140. #501 | D37 | semidirect |
| 149. C37 | #3171 | semidirect |
| 248. C8 | #10596966 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558084 | 2 |
| #14558068 | 2 |
| #14557922 | 2 |
| #14557899 | 2 |
| #14557895 | 2 |
| #14557787 | 2 |
| #14557780 | 2 |
| #14557620 | 2 |
| #14557615 | 2 |
| #14557485 | 2 |
| C37×#501 | 2 |
| #3171 | 37 |