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×#11924561 | C2 | semidirect |
| 2. C2×#11924542 | C2 | semidirect |
| 3. #14558111 | C2 | semidirect |
| 4. #14558102 | C2 | semidirect |
| 5. #14557785 | C2 | semidirect |
| 6. #14557782 | C2 | semidirect |
| 7. #14557768 | C2 | semidirect |
| 8. #14557765 | C2 | semidirect |
| 9. #14557576 | C2 | semidirect |
| 10. C2×#11924458 | C2 | semidirect |
| 11. C37×#416 | C2 | semidirect |
| 19. C2×#10596929 | C22 | semidirect |
| 20. C2×C8×D37 | C22 | semidirect |
| 24. #11924512 | C22 | semidirect |
| 29. #11924507 | C22 | semidirect |
| 32. #11924469 | C22 | semidirect |
| 33. #11924467 | C22 | semidirect |
| 39. #103×C37 | C22 | semidirect |
| 40. #103×C37 | C22 | semidirect |
| 41. #102×C37 | C22 | semidirect |
| 42. #102×C37 | C22 | semidirect |
| 81. #10596934 | D4 | semidirect |
| 161. #416 | D37 | semidirect |
| 163. C37 | #3062 | semidirect |
| 189. #103 | C2×D37 | semidirect |
| 190. #103 | C2×D37 | semidirect |
| 193. #102 | C2×D37 | semidirect |
| 194. #102 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924561 | 2 |
| C2×#11924542 | 2 |
| #14558111 | 2 |
| #14558102 | 2 |
| #14557785 | 2 |
| #14557782 | 2 |
| #14557768 | 2 |
| #14557765 | 2 |
| #14557576 | 2 |
| C2×#11924458 | 2 |
| C37×#416 | 2 |
| #3062 | 37 |