Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
278 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 4. #11927311 | C4 | semidirect |
| 7. #11926518 | C4 | semidirect |
| 8. #11926339 | C4 | semidirect |
| 13. C19×#333 | C4 | semidirect |
| 129. #333 | Dic19 | semidirect |
| 157. C19 | #7482 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14565300 | 2 |
| #14564019 | 2 |
| C19×#1560 | 2 |
| #7482 | 19 |