Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
436 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14562063 | C2 | semidirect |
| 5. #14561978 | C2 | semidirect |
| 6. #14561498 | C2 | semidirect |
| 7. C19×#1307 | C2 | semidirect |
| 151. #1307 | D19 | semidirect |
| 237. C19 | #9527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573758 | 2 |
| #14572713 | 2 |
| #14562355 | 2 |
| #14562063 | 2 |
| #14561978 | 2 |
| #14561498 | 2 |
| C19×#1307 | 2 |
| #9527 | 19 |