Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
880 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 880 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 |
|---|---|---|
| 1. #14572662 | C2 | semidirect |
| 3. #14563556 | C2 | semidirect |
| 4. #14561971 | C2 | semidirect |
| 5. #14561542 | C2 | semidirect |
| 6. #14561540 | C2 | semidirect |
| 7. C19×#1783 | C2 | semidirect |
| 42. C2×M16×C19 | D4 | semidirect |
| 59. C2×#64520 | D4 | semidirect |
| 169. C22×D19 | #100 | semidirect |
| 206. #1783 | D19 | semidirect |
| 292. C2×M16 | C22⋊D19 | semidirect |
| 323. C19 | #9503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572662 | 2 |
| #14566985 | 2 |
| #14563556 | 2 |
| #14561971 | 2 |
| #14561542 | 2 |
| #14561540 | 2 |
| C19×#1783 | 2 |
| #9503 | 19 |