Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#11924564 | C2 | semidirect |
| 2. C2×#11924556 | C2 | semidirect |
| 3. #14558097 | C2 | semidirect |
| 4. #14558014 | C2 | semidirect |
| 5. #14557758 | C2 | semidirect |
| 6. #14557751 | C2 | semidirect |
| 7. #14557732 | C2 | semidirect |
| 8. #14557727 | C2 | semidirect |
| 9. #14557561 | C2 | semidirect |
| 10. C2×#11924456 | C2 | semidirect |
| 11. C37×#417 | C2 | semidirect |
| 16. C2×#10596942 | C22 | semidirect |
| 18. C2×#10596940 | C22 | semidirect |
| 19. C2×#10596941 | C22 | semidirect |
| 21. C2×#10596939 | C22 | semidirect |
| 28. #11924501 | C22 | semidirect |
| 29. #11924498 | C22 | semidirect |
| 34. #11924465 | C22 | semidirect |
| 35. #11924465 | C22 | semidirect |
| 41. #103×C37 | C22 | semidirect |
| 42. #102×C37 | C22 | semidirect |
| 56. #10596962 | D4 | semidirect |
| 164. #417 | D37 | semidirect |
| 166. C37 | #3045 | semidirect |
| 194. #103 | C2×D37 | semidirect |
| 197. #102 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924564 | 2 |
| C2×#11924556 | 2 |
| #14558097 | 2 |
| #14558014 | 2 |
| #14557758 | 2 |
| #14557751 | 2 |
| #14557732 | 2 |
| #14557727 | 2 |
| #14557561 | 2 |
| C2×#11924456 | 2 |
| C37×#417 | 2 |
| #3045 | 37 |