Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
492 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 3. #14557574 | C2 | semidirect |
| 4. #14557572 | C2 | semidirect |
| 5. #14557571 | C2 | semidirect |
| 6. #14557569 | C2 | semidirect |
| 7. C37×#427 | C2 | semidirect |
| 9. C2×#10596929 | C4 | semidirect |
| 20. #11924470 | C22 | semidirect |
| 21. #11924469 | C22 | semidirect |
| 22. #11924468 | C22 | semidirect |
| 23. #11924467 | C22 | semidirect |
| 26. #107×C37 | C22 | semidirect |
| 27. #106×C37 | C22 | semidirect |
| 36. C2×C8×C37 | C2×C4 | semidirect |
| 48. C2×#64436 | C2×C4 | semidirect |
| 50. #10596929 | C2×C4 | semidirect |
| 51. #10596929 | C2×C4 | semidirect |
| 94. #427 | D37 | semidirect |
| 95. C37 | #2911 | semidirect |
| 112. #107 | C2×D37 | semidirect |
| 115. #106 | C2×D37 | semidirect |
| 128. C2×C8 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596929 | 2 |
| #117×D37 | 2 |
| #14557574 | 2 |
| #14557572 | 2 |
| #14557571 | 2 |
| #14557569 | 2 |
| C37×#427 | 2 |
| #2911 | 37 |