Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
482 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 482 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 |
|---|---|---|
| 1. #14566286 | C2 | semidirect |
| 4. #14562082 | C2 | semidirect |
| 5. #14561527 | C2 | semidirect |
| 6. #14561492 | C2 | semidirect |
| 24. C19×#477 | C4 | semidirect |
| 25. C19×#460 | C4 | semidirect |
| 185. #477 | Dic19 | semidirect |
| 186. #460 | Dic19 | semidirect |
| 251. C19 | #9330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566286 | 2 |
| #14564555 | 2 |
| #14562143 | 2 |
| #14562082 | 2 |
| #14561527 | 2 |
| #14561492 | 2 |
| C19×#3112 | 2 |
| #9330 | 19 |