Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
418 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 2. #14563386 | C2 | semidirect |
| 3. #14562247 | C2 | semidirect |
| 4. #14562144 | C2 | semidirect |
| 5. C19×#1568 | C2 | semidirect |
| 7. #11926949 | C4 | semidirect |
| 8. #11926921 | C4 | semidirect |
| 9. #11926891 | C4 | semidirect |
| 119. #1568 | D19 | semidirect |
| 191. C19 | #9764 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574214 | 2 |
| #14563386 | 2 |
| #14562247 | 2 |
| #14562144 | 2 |
| C19×#1568 | 2 |
| #9764 | 19 |