Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
542 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 542 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. #14566520 | C2 | semidirect |
| 5. #14561542 | C2 | semidirect |
| 6. #14561521 | C2 | semidirect |
| 7. C19×#1826 | C2 | semidirect |
| 12. #11926587 | C4 | semidirect |
| 13. #11926548 | C4 | semidirect |
| 170. #1826 | D19 | semidirect |
| 273. C19 | #9367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573575 | 2 |
| #14566520 | 2 |
| #14564471 | 2 |
| #14562152 | 2 |
| #14561542 | 2 |
| #14561521 | 2 |
| C19×#1826 | 2 |
| #9367 | 19 |