Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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×#11924558 | C2 | semidirect |
| 2. C22×#10596929 | C2 | semidirect |
| 3. #14558045 | C2 | semidirect |
| 4. #14557792 | C2 | semidirect |
| 5. #14557787 | C2 | semidirect |
| 6. #14557780 | C2 | semidirect |
| 7. #14557527 | C2 | semidirect |
| 8. C37×#427 | C2 | semidirect |
| 12. C2×Dic148 | C22 | semidirect |
| 13. C2×#10596930 | C22 | semidirect |
| 14. C2×D296 | C22 | semidirect |
| 24. #11924459 | C22 | semidirect |
| 25. #11924456 | C22 | semidirect |
| 28. #107×C37 | C22 | semidirect |
| 29. #106×C37 | C22 | semidirect |
| 44. C2×C8×C37 | D4 | semidirect |
| 112. #427 | D37 | semidirect |
| 114. C37 | #3054 | semidirect |
| 132. #107 | C2×D37 | semidirect |
| 133. #106 | C2×D37 | semidirect |
| 157. C2×C8 | D148 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924558 | 2 |
| C22×#10596929 | 2 |
| #14558045 | 2 |
| #14557792 | 2 |
| #14557787 | 2 |
| #14557780 | 2 |
| #14557527 | 2 |
| C37×#427 | 2 |
| #3054 | 37 |