Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
416 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 3. #14557873 | C2 | direct (N × H) |
| 4. C2×#11924470 | C2 | semidirect |
| 5. C2×#11924467 | C2 | semidirect |
| 6. C2×#11924460 | C2 | semidirect |
| 8. C2×#103×C37 | C2 | semidirect |
| 21. #11924470 | C22 | semidirect |
| 22. #11924467 | C22 | semidirect |
| 23. #11924460 | C22 | semidirect |
| 28. #103×C37 | C22 | semidirect |
| 102. C2×C37 | #485 | semidirect |
| 113. C2×#103 | D37 | semidirect |
| 115. C37 | C2×#485 | semidirect |
| 134. #103 | C2×D37 | semidirect |
| 209. C2 | #14557873 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924512 | 2 |
| C2×#11924494 | 2 |
| #14557873 | 2 |
| C2×#11924470 | 2 |
| C2×#11924467 | 2 |
| C2×#11924460 | 2 |
| C2×#11924448 | 2 |
| C2×#103×C37 | 2 |
| C2×#485 | 37 |