Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
556 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14563725 | C2 | semidirect |
| 5. #14561503 | C2 | semidirect |
| 6. #14561502 | C2 | semidirect |
| 7. C19×#1824 | C2 | semidirect |
| 15. #11926482 | C4 | semidirect |
| 16. #11926479 | C4 | semidirect |
| 184. #1824 | D19 | semidirect |
| 294. C19 | #9473 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572661 | 2 |
| #14567946 | 2 |
| #14563725 | 2 |
| #14563620 | 2 |
| #14561503 | 2 |
| #14561502 | 2 |
| C19×#1824 | 2 |
| #9473 | 19 |