Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
292 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 4. #14557489 | C2 | semidirect |
| 5. C2×#11924447 | C2 | semidirect |
| 6. #14557297 | C2 | semidirect |
| 7. C37×#339 | C2 | semidirect |
| 10. #11924544 | C4 | semidirect |
| 16. #11924464 | C4 | semidirect |
| 17. #11924459 | C4 | semidirect |
| 18. #11924456 | C4 | semidirect |
| 105. #339 | D37 | semidirect |
| 106. C37 | #1765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924544 | 2 |
| C2×#11924464 | 2 |
| #14557527 | 2 |
| #14557489 | 2 |
| C2×#11924447 | 2 |
| #14557297 | 2 |
| C37×#339 | 2 |
| #1765 | 37 |