Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14557837 | C2 | semidirect |
| 3. #14557830 | C2 | semidirect |
| 4. #14557825 | C2 | semidirect |
| 5. #14557810 | C2 | semidirect |
| 6. #14557576 | C2 | semidirect |
| 7. C2×#11924469 | C2 | semidirect |
| 8. #14557560 | C2 | semidirect |
| 11. C37×#544 | C2 | semidirect |
| 47. #10596962 | Q8 | semidirect |
| 124. #544 | D37 | semidirect |
| 135. C37 | #3083 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558013 | 2 |
| #14557837 | 2 |
| #14557830 | 2 |
| #14557825 | 2 |
| #14557810 | 2 |
| #14557576 | 2 |
| C2×#11924469 | 2 |
| #14557560 | 2 |
| #14557532 | 2 |
| #14557527 | 2 |
| C37×#544 | 2 |
| #3083 | 37 |