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. #14557871 | C2 | semidirect |
| 3. #14557825 | C2 | semidirect |
| 4. #14557820 | C2 | semidirect |
| 5. #14557740 | C2 | semidirect |
| 6. #14557735 | C2 | semidirect |
| 8. #14557638 | C2 | semidirect |
| 9. #14557631 | C2 | semidirect |
| 10. #14557590 | C2 | semidirect |
| 11. C37×#533 | C2 | semidirect |
| 137. #533 | D37 | semidirect |
| 148. C37 | #3116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10596962 | 2 |
| #14557871 | 2 |
| #14557825 | 2 |
| #14557820 | 2 |
| #14557740 | 2 |
| #14557735 | 2 |
| #14557693 | 2 |
| #14557638 | 2 |
| #14557631 | 2 |
| #14557590 | 2 |
| C37×#533 | 2 |
| #3116 | 37 |