Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
270 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14557561 | C2 | semidirect |
| 5. #14557294 | C2 | semidirect |
| 6. #14557287 | C2 | semidirect |
| 7. C2×#108×C37 | C2 | semidirect |
| 19. #11924461 | C4 | semidirect |
| 20. #11924461 | C4 | semidirect |
| 21. #11924458 | C4 | semidirect |
| 22. #11924458 | C4 | semidirect |
| 111. C2×#108 | D37 | semidirect |
| 117. C37 | #1866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924544 | 2 |
| #14557561 | 2 |
| C2×#11924462 | 2 |
| #14557530 | 2 |
| #14557294 | 2 |
| #14557287 | 2 |
| C2×#108×C37 | 2 |
| #1866 | 37 |