Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
912 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 912 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 |
|---|---|---|
| 1. #14572661 | C2 | semidirect |
| 3. #14563620 | C2 | semidirect |
| 4. #14563566 | C2 | semidirect |
| 5. #14561503 | C2 | semidirect |
| 6. #14561502 | C2 | semidirect |
| 7. C19×#1786 | C2 | semidirect |
| 18. #11926458 | C4 | semidirect |
| 19. #11926452 | C4 | semidirect |
| 41. C22×C8×C19 | D4 | semidirect |
| 62. C22×C19⋊C8 | D4 | semidirect |
| 230. #1786 | D19 | semidirect |
| 322. C22×C8 | C22⋊D19 | semidirect |
| 356. C19 | #9472 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572661 | 2 |
| #14566985 | 2 |
| #14563620 | 2 |
| #14563566 | 2 |
| #14561503 | 2 |
| #14561502 | 2 |
| C19×#1786 | 2 |
| #9472 | 19 |