Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
412 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14562081 | C2 | semidirect |
| 5. #14561978 | C2 | semidirect |
| 6. #14561508 | C2 | semidirect |
| 7. C19×#1308 | C2 | semidirect |
| 177. #1308 | D19 | semidirect |
| 282. C19 | #9531 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573808 | 2 |
| #14572615 | 2 |
| #14562267 | 2 |
| #14562081 | 2 |
| #14561978 | 2 |
| #14561508 | 2 |
| C19×#1308 | 2 |
| #9531 | 19 |