Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×C4×Dic74 | C2 | semidirect |
| 3. #14557869 | C2 | semidirect |
| 5. #14557841 | C2 | semidirect |
| 6. #14557756 | C2 | semidirect |
| 7. #14557691 | C2 | semidirect |
| 9. #14557641 | C2 | semidirect |
| 10. #14557635 | C2 | semidirect |
| 11. C37×#432 | C2 | semidirect |
| 142. #432 | D37 | semidirect |
| 143. C37 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558067 | 2 |
| C2×C4×Dic74 | 2 |
| #14557869 | 2 |
| #14557852 | 2 |
| #14557841 | 2 |
| #14557756 | 2 |
| #14557691 | 2 |
| #14557674 | 2 |
| #14557641 | 2 |
| #14557635 | 2 |
| C37×#432 | 2 |
| #3117 | 37 |