Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#11924542 | C2 | semidirect |
| 2. #14558107 | C2 | semidirect |
| 4. #14557776 | C2 | semidirect |
| 5. #14557759 | C2 | semidirect |
| 6. #14557571 | C2 | semidirect |
| 7. #14557542 | C2 | semidirect |
| 8. #14557538 | C2 | semidirect |
| 9. C22×SD16×C37 | C2 | semidirect |
| 13. C2×#10596929 | C22 | semidirect |
| 14. C2×C8×D37 | C22 | semidirect |
| 20. #11924512 | C22 | semidirect |
| 25. #11924470 | C22 | semidirect |
| 26. #11924468 | C22 | semidirect |
| 27. #11924460 | C22 | semidirect |
| 55. C2×C8×C37 | D4 | semidirect |
| 121. C22×SD16 | D37 | semidirect |
| 130. C37 | #3057 | semidirect |
| 180. C2×C8 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924542 | 2 |
| #14558107 | 2 |
| #14558100 | 2 |
| #14557776 | 2 |
| #14557759 | 2 |
| #14557571 | 2 |
| #14557542 | 2 |
| #14557538 | 2 |
| C22×SD16×C37 | 2 |
| #3057 | 37 |