Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
644 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #14563569 | C2 | semidirect |
| 4. #14563558 | C2 | semidirect |
| 6. #14561511 | C2 | semidirect |
| 7. C19×#1305 | C2 | semidirect |
| 12. #11926702 | C4 | semidirect |
| 14. #11926685 | C4 | semidirect |
| 222. #1305 | D19 | semidirect |
| 338. C19 | #9519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572872 | 2 |
| #14572685 | 2 |
| #14563569 | 2 |
| #14563558 | 2 |
| #14562176 | 2 |
| #14561511 | 2 |
| C19×#1305 | 2 |
| #9519 | 19 |