Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
520 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 520 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 |
|---|---|---|
| 4. #14562155 | C2 | semidirect |
| 5. #14561541 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 7. C19×#2378 | C2 | semidirect |
| 9. #11926877 | C4 | semidirect |
| 12. #11926694 | C4 | semidirect |
| 192. #2378 | D19 | semidirect |
| 307. C19 | #9344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574437 | 2 |
| #14564470 | 2 |
| #14562163 | 2 |
| #14562155 | 2 |
| #14561541 | 2 |
| #14561487 | 2 |
| C19×#2378 | 2 |
| #9344 | 19 |