Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
930 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 930 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 |
|---|---|---|
| 1. #14574393 | C2 | semidirect |
| 3. #14567282 | C2 | semidirect |
| 4. #14564470 | C2 | semidirect |
| 5. #14562206 | C2 | semidirect |
| 6. #14561482 | C2 | semidirect |
| 7. C19×#1786 | C2 | semidirect |
| 214. #1786 | D19 | semidirect |
| 332. C19 | #9947 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574393 | 2 |
| C2×#11926678 | 2 |
| #14567282 | 2 |
| #14564470 | 2 |
| #14562206 | 2 |
| #14561482 | 2 |
| C19×#1786 | 2 |
| #9947 | 19 |