Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 135 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×#11924569 | C2 | semidirect |
| 2. C2×#11924566 | C2 | semidirect |
| 4. C2×#11924501 | C2 | semidirect |
| 5. #14557758 | C2 | semidirect |
| 6. #14557754 | C2 | semidirect |
| 7. #14557742 | C2 | semidirect |
| 8. #14557732 | C2 | semidirect |
| 9. #14557556 | C2 | semidirect |
| 10. #14557532 | C2 | semidirect |
| 11. C37×#417 | C2 | semidirect |
| 65. C2×Dic74 | D4 | semidirect |
| 150. Dic37 | #137 | semidirect |
| 168. #417 | D37 | semidirect |
| 169. C37 | #3037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924569 | 2 |
| C2×#11924566 | 2 |
| #14558079 | 2 |
| C2×#11924501 | 2 |
| #14557758 | 2 |
| #14557754 | 2 |
| #14557742 | 2 |
| #14557732 | 2 |
| #14557556 | 2 |
| #14557532 | 2 |
| C37×#417 | 2 |
| #3037 | 37 |