Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
478 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 1. #14572719 | C2 | semidirect |
| 3. C4×#10597281 | C2 | semidirect |
| 6. #14561499 | C2 | semidirect |
| 7. C19×#1288 | C2 | semidirect |
| 186. #1288 | D19 | semidirect |
| 289. C19 | #9188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572719 | 2 |
| #14569498 | 2 |
| C4×#10597281 | 2 |
| #14562234 | 2 |
| #14562232 | 2 |
| #14561499 | 2 |
| C19×#1288 | 2 |
| #9188 | 19 |