Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
460 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14563840 | C2 | semidirect |
| 5. #14561523 | C2 | semidirect |
| 6. #14561522 | C2 | semidirect |
| 7. C19×#1855 | C2 | semidirect |
| 139. C22×D19 | #108 | semidirect |
| 176. #1855 | D19 | semidirect |
| 278. C19 | #8859 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572662 | 2 |
| #14563932 | 2 |
| #14563840 | 2 |
| #14561951 | 2 |
| #14561523 | 2 |
| #14561522 | 2 |
| C19×#1855 | 2 |
| #8859 | 19 |