Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
410 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 3. #14557875 | C2 | semidirect |
| 4. #14557869 | C2 | semidirect |
| 5. #14557864 | C2 | semidirect |
| 6. #14557575 | C2 | semidirect |
| 7. #14557543 | C2 | semidirect |
| 25. #11924470 | C22 | semidirect |
| 26. #11924468 | C22 | semidirect |
| 27. #11924461 | C22 | semidirect |
| 28. #11924461 | C22 | semidirect |
| 125. C37 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924515 | 2 |
| C2×#11924495 | 2 |
| #14557875 | 2 |
| #14557869 | 2 |
| #14557864 | 2 |
| #14557575 | 2 |
| #14557543 | 2 |
| C37×#407 | 2 |
| #3095 | 37 |