Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
142 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 44 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. #14558573 | C2 | semidirect |
| 3. #14558458 | C2 | semidirect |
| 4. #14558452 | C2 | semidirect |
| 6. #14558423 | C2 | semidirect |
| 18. Dic296 | C4 | semidirect |
| 19. #11924482 | C4 | semidirect |
| 20. #11924480 | C4 | semidirect |
| 22. SD32×C37 | C4 | semidirect |
| 78. C37 | #2180 | semidirect |
| 86. SD32 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558580 | 2 |
| #14558573 | 2 |
| #14558458 | 2 |
| #14558452 | 2 |
| #14558449 | 2 |
| #14558423 | 2 |
| #14557972 | 2 |
| #2180 | 37 |