Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
770 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. #14564484 | C2 | semidirect |
| 3. #14562357 | C2 | semidirect |
| 4. #14562240 | C2 | semidirect |
| 5. #14562101 | C2 | semidirect |
| 6. #14561986 | C2 | semidirect |
| 7. C19×#1484 | C2 | semidirect |
| 22. #11926601 | C22 | semidirect |
| 23. #11926568 | C22 | semidirect |
| 34. C19×#431 | C22 | semidirect |
| 35. C4×M16×C19 | C22 | semidirect |
| 248. #1484 | D19 | semidirect |
| 293. #431 | C2×D19 | semidirect |
| 297. C4×M16 | C2×D19 | semidirect |
| 386. C19 | #8483 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578158 | 2 |
| #14564484 | 2 |
| #14562357 | 2 |
| #14562240 | 2 |
| #14562101 | 2 |
| #14561986 | 2 |
| C19×#1484 | 2 |
| #8483 | 19 |