Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
518 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14572676 | C2 | semidirect |
| 3. #14562194 | C2 | semidirect |
| 4. #14562033 | C2 | semidirect |
| 5. #14561532 | C2 | semidirect |
| 6. #14561493 | C2 | semidirect |
| 7. C19×#1804 | C2 | semidirect |
| 11. #11926749 | C4 | semidirect |
| 12. #11926739 | C4 | semidirect |
| 166. #1804 | D19 | semidirect |
| 262. C19 | #9309 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573099 | 2 |
| #14572676 | 2 |
| #14562194 | 2 |
| #14562033 | 2 |
| #14561532 | 2 |
| #14561493 | 2 |
| C19×#1804 | 2 |
| #9309 | 19 |