Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
398 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. #14562405 | C2 | semidirect |
| 3. #14562293 | C2 | semidirect |
| 4. #14562198 | C2 | semidirect |
| 6. #14561493 | C2 | semidirect |
| 236. C19 | #10468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573432 | 2 |
| #14562405 | 2 |
| #14562293 | 2 |
| #14562198 | 2 |
| #14561956 | 2 |
| #14561493 | 2 |
| C19×#1804 | 2 |
| #10468 | 19 |