Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
162 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 59 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. #14557627 | C2 | semidirect |
| 4. #14557360 | C2 | semidirect |
| 5. #14557338 | C2 | semidirect |
| 6. C16×Dic37 | C2 | semidirect |
| 11. #11924480 | C4 | semidirect |
| 34. Dic148 | C2×C4 | semidirect |
| 36. #10596925 | C2×C4 | semidirect |
| 62. Dic37 | SD32 | semidirect |
| 75. C37 | C4×SD32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924480 | 2 |
| #14557627 | 2 |
| D8×Dic37 | 2 |
| #14557360 | 2 |
| #14557338 | 2 |
| C16×Dic37 | 2 |
| C37×#357 | 2 |
| C4×SD32 | 37 |