Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 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×#11924564 | C2 | semidirect |
| 2. C2×#11924558 | C2 | semidirect |
| 3. #14558102 | C2 | semidirect |
| 4. #14558013 | C2 | semidirect |
| 5. #14557756 | C2 | semidirect |
| 6. #14557749 | C2 | semidirect |
| 7. #14557734 | C2 | semidirect |
| 8. #14557729 | C2 | semidirect |
| 9. #14557535 | C2 | semidirect |
| 10. C2×#11924458 | C2 | semidirect |
| 11. C37×#424 | C2 | semidirect |
| 17. C2×Dic148 | C22 | semidirect |
| 19. C2×#10596930 | C22 | semidirect |
| 20. C2×#10596930 | C22 | semidirect |
| 22. C2×D296 | C22 | semidirect |
| 28. C4×Dic74 | C22 | semidirect |
| 29. C4×D148 | C22 | semidirect |
| 34. #11924461 | C22 | semidirect |
| 37. #11924458 | C22 | semidirect |
| 41. C4⋊C8×C37 | C22 | semidirect |
| 42. C4⋊C8×C37 | C22 | semidirect |
| 51. #10596962 | D4 | semidirect |
| 163. #424 | D37 | semidirect |
| 166. C37 | #3045 | semidirect |
| 192. C4⋊C8 | C2×D37 | semidirect |
| 193. 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×#11924564 | 2 |
| C2×#11924558 | 2 |
| #14558102 | 2 |
| #14558013 | 2 |
| #14557756 | 2 |
| #14557749 | 2 |
| #14557734 | 2 |
| #14557729 | 2 |
| #14557535 | 2 |
| C2×#11924458 | 2 |
| C37×#424 | 2 |
| #3045 | 37 |