Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
460 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14563624 | C2 | semidirect |
| 3. #14562313 | C2 | semidirect |
| 4. #14562087 | C2 | semidirect |
| 5. C2×#11926273 | C2 | semidirect |
| 6. #14561509 | C2 | semidirect |
| 7. C19×#1567 | C2 | semidirect |
| 172. #1567 | D19 | semidirect |
| 269. C19 | #10456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573101 | 2 |
| #14563624 | 2 |
| #14562313 | 2 |
| #14562087 | 2 |
| C2×#11926273 | 2 |
| #14561509 | 2 |
| C19×#1567 | 2 |
| #10456 | 19 |