Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
338 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 15. #11926292 | C4 | semidirect |
| 16. #11926289 | C4 | semidirect |
| 190. C19 | #9579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564612 | 2 |
| #14562405 | 2 |
| #14562293 | 2 |
| #14562037 | 2 |
| #14561532 | 2 |
| #14561468 | 2 |
| C4×C19×C4⋊C8 | 2 |
| #9579 | 19 |