Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
530 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14562156 | C2 | semidirect |
| 5. #14562154 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 7. C19×#1284 | C2 | semidirect |
| 16. #11926476 | C4 | semidirect |
| 17. #11926471 | C4 | semidirect |
| 19. #11926465 | C4 | semidirect |
| 21. #11926457 | C4 | semidirect |
| 199. #1284 | D19 | semidirect |
| 310. C19 | #9184 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572674 | 2 |
| #14569555 | 2 |
| C4×#10597263 | 2 |
| #14562156 | 2 |
| #14562154 | 2 |
| #14561487 | 2 |
| C19×#1284 | 2 |
| #9184 | 19 |