Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14558144 | C2 | semidirect |
| 3. #14557935 | C2 | semidirect |
| 4. #14557901 | C2 | semidirect |
| 5. #14557897 | C2 | semidirect |
| 6. #14557776 | C2 | semidirect |
| 7. #14557759 | C2 | semidirect |
| 8. #14557634 | C2 | semidirect |
| 9. SD16×Dic37 | C2 | semidirect |
| 10. #14557487 | C2 | semidirect |
| 11. C37×#492 | C2 | semidirect |
| 112. #492 | D37 | semidirect |
| 120. C37 | #3174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558144 | 2 |
| #14558137 | 2 |
| #14557935 | 2 |
| #14557901 | 2 |
| #14557897 | 2 |
| #14557776 | 2 |
| #14557759 | 2 |
| #14557634 | 2 |
| SD16×Dic37 | 2 |
| #14557487 | 2 |
| C37×#492 | 2 |
| #3174 | 37 |