Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 1. #14558154 | C2 | semidirect |
| 2. #14557931 | C2 | semidirect |
| 3. #14557917 | C2 | semidirect |
| 4. #14557893 | C2 | semidirect |
| 5. #14557791 | C2 | semidirect |
| 7. #14557762 | C2 | semidirect |
| 8. #14557646 | C2 | semidirect |
| 9. #14557641 | C2 | semidirect |
| 10. C4×#10596930 | C2 | semidirect |
| 11. C37×#405 | C2 | semidirect |
| 120. #405 | D37 | semidirect |
| 121. C37 | #3173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558154 | 2 |
| #14557931 | 2 |
| #14557917 | 2 |
| #14557893 | 2 |
| #14557791 | 2 |
| #14557786 | 2 |
| #14557762 | 2 |
| #14557646 | 2 |
| #14557641 | 2 |
| C4×#10596930 | 2 |
| C37×#405 | 2 |
| #3173 | 37 |