Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
596 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×D296 | C2 | semidirect |
| 4. #14558102 | C2 | semidirect |
| 5. #14557922 | C2 | semidirect |
| 6. #14557917 | C2 | semidirect |
| 7. #14557910 | C2 | semidirect |
| 8. C37×#405 | C2 | semidirect |
| 13. C2×Dic148 | C22 | semidirect |
| 14. C2×#10596930 | C22 | semidirect |
| 15. C2×#10596930 | C22 | semidirect |
| 19. C2×D296 | C22 | semidirect |
| 20. C2×D296 | C22 | semidirect |
| 21. #11924533 | C22 | semidirect |
| 22. #11924524 | C22 | semidirect |
| 28. #97×C37 | C22 | semidirect |
| 29. C4×C8×C37 | C22 | semidirect |
| 43. M16×C37 | D4 | semidirect |
| 44. C2×C8×C37 | D4 | semidirect |
| 109. #405 | D37 | semidirect |
| 110. C37 | #3155 | semidirect |
| 130. #97 | C2×D37 | semidirect |
| 131. C4×C8 | C2×D37 | semidirect |
| 152. M16 | D148 | semidirect |
| 153. C2×C8 | D148 | 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 |
| C22×D296 | 2 |
| #14558102 | 2 |
| #14557922 | 2 |
| #14557917 | 2 |
| #14557910 | 2 |
| C37×#405 | 2 |
| #3155 | 37 |