Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 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×#11924556 | C2 | semidirect |
| 2. C2×#11924544 | C2 | semidirect |
| 3. #14558114 | C2 | semidirect |
| 4. #14558111 | C2 | semidirect |
| 5. #14557790 | C2 | semidirect |
| 6. #14557785 | C2 | semidirect |
| 7. #14557765 | C2 | semidirect |
| 8. #14557761 | C2 | semidirect |
| 9. C2×#11924467 | C2 | semidirect |
| 10. #14557535 | C2 | semidirect |
| 11. C37×#417 | C2 | semidirect |
| 82. C2×#64436 | D4 | semidirect |
| 163. #417 | D37 | semidirect |
| 164. C37 | #3060 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924556 | 2 |
| C2×#11924544 | 2 |
| #14558114 | 2 |
| #14558111 | 2 |
| #14557790 | 2 |
| #14557785 | 2 |
| #14557765 | 2 |
| #14557761 | 2 |
| C2×#11924467 | 2 |
| #14557535 | 2 |
| C37×#417 | 2 |
| #3060 | 37 |