Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
492 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 189 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 |
|---|---|---|
| 2. #14558010 | C2 | semidirect |
| 4. #14557635 | C2 | semidirect |
| 5. C4×#10596930 | C2 | semidirect |
| 6. #14557571 | C2 | semidirect |
| 7. #14557543 | C2 | semidirect |
| 9. C37×#405 | C2 | semidirect |
| 12. C2×#10596930 | C4 | semidirect |
| 15. C4×Dic74 | C22 | semidirect |
| 23. #11924470 | C22 | semidirect |
| 24. #11924468 | C22 | semidirect |
| 25. #11924461 | C22 | semidirect |
| 30. #97×C37 | C22 | semidirect |
| 31. C4×C8×C37 | C22 | semidirect |
| 42. C2×Dic74 | C2×C4 | semidirect |
| 45. C2×C8×C37 | C2×C4 | semidirect |
| 61. #10596930 | C2×C4 | semidirect |
| 62. #10596930 | C2×C4 | semidirect |
| 112. #405 | D37 | semidirect |
| 113. C37 | #2949 | semidirect |
| 134. #97 | C2×D37 | semidirect |
| 135. C4×C8 | C2×D37 | semidirect |
| 151. 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×#10596930 | 2 |
| #14558010 | 2 |
| #14558007 | 2 |
| #14557635 | 2 |
| C4×#10596930 | 2 |
| #14557571 | 2 |
| #14557543 | 2 |
| #14557539 | 2 |
| C37×#405 | 2 |
| #2949 | 37 |