Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 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×#11924569 | C2 | semidirect |
| 2. C22×#10596930 | C2 | semidirect |
| 4. #14558010 | C2 | semidirect |
| 5. #14557756 | C2 | semidirect |
| 6. #14557734 | C2 | semidirect |
| 7. #14557539 | C2 | semidirect |
| 8. #14557530 | C2 | semidirect |
| 9. C37×#424 | C2 | semidirect |
| 14. C2×Dic148 | C22 | semidirect |
| 17. C2×#10596930 | C22 | semidirect |
| 22. C4×Dic74 | C22 | semidirect |
| 26. #11924461 | C22 | semidirect |
| 28. #11924458 | C22 | semidirect |
| 32. C4⋊C8×C37 | C22 | semidirect |
| 48. C2×Dic74 | D4 | semidirect |
| 123. #424 | D37 | semidirect |
| 126. C37 | #3043 | semidirect |
| 146. C4⋊C8 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924569 | 2 |
| C22×#10596930 | 2 |
| #14558102 | 2 |
| #14558010 | 2 |
| #14557756 | 2 |
| #14557734 | 2 |
| #14557539 | 2 |
| #14557530 | 2 |
| C37×#424 | 2 |
| #3043 | 37 |