Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
500 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 12. #11926587 | C4 | semidirect |
| 13. #11926552 | C4 | semidirect |
| 260. C19 | #9362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573583 | 2 |
| #14566528 | 2 |
| #14564620 | 2 |
| #14562156 | 2 |
| #14561542 | 2 |
| #14561521 | 2 |
| C19×#1826 | 2 |
| #9362 | 19 |