Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
610 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 610 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 1. #14574756 | C2 | semidirect |
| 3. #14562307 | C2 | semidirect |
| 4. #14562129 | C2 | semidirect |
| 5. #14562026 | C2 | semidirect |
| 6. #14561538 | C2 | semidirect |
| 7. C19×#2547 | C2 | semidirect |
| 192. #2547 | D19 | semidirect |
| 300. C19 | #10239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574756 | 2 |
| #14573099 | 2 |
| #14562307 | 2 |
| #14562129 | 2 |
| #14562026 | 2 |
| #14561538 | 2 |
| C19×#2547 | 2 |
| #10239 | 19 |