Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
532 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14564620 | C2 | semidirect |
| 5. #14564058 | C2 | semidirect |
| 6. #14561503 | C2 | semidirect |
| 7. C19×#1850 | C2 | semidirect |
| 124. C22⋊C4×C19 | SD16 | semidirect |
| 212. #1850 | D19 | semidirect |
| 329. C19 | #10565 | semidirect |
| 395. C22⋊C4 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574393 | 2 |
| #14564620 | 2 |
| #14564471 | 2 |
| #14564063 | 2 |
| #14564058 | 2 |
| #14561503 | 2 |
| C19×#1850 | 2 |
| #10565 | 19 |