Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
536 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 10. #11926829 | C4 | semidirect |
| 11. #11926754 | C4 | semidirect |
| 243. C19 | #9324 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573765 | 2 |
| #14564578 | 2 |
| #14562146 | 2 |
| #14562082 | 2 |
| #14561528 | 2 |
| #14561491 | 2 |
| C19×#2276 | 2 |
| #9324 | 19 |