Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 189 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 |
|---|---|---|
| 2. #14558013 | C2 | semidirect |
| 3. #14557635 | C2 | semidirect |
| 4. C4×Dic148 | C2 | semidirect |
| 5. C4×D296 | C2 | semidirect |
| 6. C2×#11924470 | C2 | semidirect |
| 7. #14557535 | C2 | semidirect |
| 8. C37×#405 | C2 | semidirect |
| 10. #11924558 | C4 | semidirect |
| 33. #10596962 | C2×C4 | semidirect |
| 39. C2×C8×C37 | C2×C4 | semidirect |
| 52. Dic148 | C2×C4 | semidirect |
| 53. D296 | C2×C4 | semidirect |
| 54. #10596930 | C2×C4 | semidirect |
| 103. #405 | D37 | semidirect |
| 104. C37 | #2951 | semidirect |
| 138. C2×C8 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924558 | 2 |
| #14558013 | 2 |
| #14557635 | 2 |
| C4×Dic148 | 2 |
| C4×D296 | 2 |
| C2×#11924470 | 2 |
| #14557535 | 2 |
| C37×#405 | 2 |
| #2951 | 37 |