Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
410 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 410 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. #14558067 | C2 | semidirect |
| 2. #14557939 | C2 | semidirect |
| 3. #14557920 | C2 | semidirect |
| 4. #14557897 | C2 | semidirect |
| 5. #14557895 | C2 | semidirect |
| 6. #14557767 | C2 | semidirect |
| 7. #14557760 | C2 | semidirect |
| 8. #14557643 | C2 | semidirect |
| 9. #14557633 | C2 | semidirect |
| 10. C2×#11924447 | C2 | semidirect |
| 11. C37×#532 | C2 | semidirect |
| 110. #64436 | #41 | semidirect |
| 138. #532 | D37 | semidirect |
| 149. C37 | #3180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558067 | 2 |
| #14557939 | 2 |
| #14557920 | 2 |
| #14557897 | 2 |
| #14557895 | 2 |
| #14557767 | 2 |
| #14557760 | 2 |
| #14557643 | 2 |
| #14557633 | 2 |
| C2×#11924447 | 2 |
| C37×#532 | 2 |
| #3180 | 37 |