Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
740 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 740 conjugacy classes of subgroups — too many to draw. Only its 197 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. C2×#11924498 | C2 | semidirect |
| 3. #14557434 | C2 | semidirect |
| 4. #14557411 | C2 | semidirect |
| 5. #14557379 | C2 | semidirect |
| 6. C37×#382 | C2 | semidirect |
| 10. #11924533 | C4 | semidirect |
| 29. C2×D148 | C2×C4 | semidirect |
| 30. C2×D148 | C2×C4 | semidirect |
| 34. C42×C37 | C2×C4 | semidirect |
| 38. C4×Dic37 | D4 | semidirect |
| 83. #382 | D37 | semidirect |
| 85. C37 | #2328 | semidirect |
| 117. C42 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924533 | 2 |
| C2×#11924498 | 2 |
| #14557434 | 2 |
| #14557411 | 2 |
| #14557379 | 2 |
| C37×#382 | 2 |
| #2328 | 37 |