Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
530 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14561515 | C2 | semidirect |
| 4. #14561503 | C2 | semidirect |
| 11. #11926410 | C4 | semidirect |
| 12. #11926404 | C4 | semidirect |
| 15. C4×C4⋊Dic19 | C4 | semidirect |
| 16. C2×C19⋊#95 | C4 | semidirect |
| 241. C19 | #8761 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566545 | 2 |
| #14563623 | 2 |
| #14561515 | 2 |
| #14561503 | 2 |
| C19×#1459 | 2 |
| #8761 | 19 |