Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
512 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14562186 | C2 | semidirect |
| 5. #14562082 | C2 | semidirect |
| 6. #14561501 | C2 | semidirect |
| 7. C19×#3113 | C2 | semidirect |
| 172. #3113 | D19 | semidirect |
| 277. C19 | #10024 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574024 | 2 |
| #14569495 | 2 |
| #14562258 | 2 |
| #14562186 | 2 |
| #14562082 | 2 |
| #14561501 | 2 |
| C19×#3113 | 2 |
| #10024 | 19 |