Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
770 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14572078 | C2 | semidirect |
| 3. #14563552 | C2 | semidirect |
| 4. #14562164 | C2 | semidirect |
| 5. #14561489 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 7. C19×#1510 | C2 | semidirect |
| 10. C2×#10597386 | C4 | semidirect |
| 11. C2×#10597382 | C4 | semidirect |
| 20. #11926449 | C4 | semidirect |
| 21. #11926445 | C4 | semidirect |
| 72. C19×C22⋊C8 | D4 | semidirect |
| 81. C22⋊(C19⋊C8) | D4 | semidirect |
| 255. #1510 | D19 | semidirect |
| 378. C22⋊C8 | C22⋊D19 | semidirect |
| 386. C19 | #9445 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572078 | 2 |
| #14567255 | 2 |
| #14563552 | 2 |
| #14562164 | 2 |
| #14561489 | 2 |
| #14561487 | 2 |
| C19×#1510 | 2 |
| #9445 | 19 |