Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
470 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11926940 | C4 | semidirect |
| 11. #11926896 | C4 | semidirect |
| 236. C19 | #9296 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574779 | 2 |
| #14566355 | 2 |
| #14564615 | 2 |
| #14562200 | 2 |
| #14561495 | 2 |
| #14561463 | 2 |
| C19×#1546 | 2 |
| #9296 | 19 |