Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
270 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 270 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 |
| 9. #11926337 | C4 | semidirect |
| 14. C19×#329 | C4 | semidirect |
| 126. #329 | Dic19 | semidirect |
| 153. C19 | #7494 | 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×#1536 | 2 |
| #7494 | 19 |