Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
544 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 544 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. #14572352 | C2 | semidirect |
| 3. #14564434 | C2 | semidirect |
| 4. #14562282 | C2 | semidirect |
| 5. #14561530 | C2 | semidirect |
| 6. #14561479 | C2 | semidirect |
| 7. C19×#1486 | C2 | semidirect |
| 123. C2×C19⋊C8 | D8 | semidirect |
| 180. #1486 | D19 | semidirect |
| 280. C19 | #9049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573635 | 2 |
| #14572352 | 2 |
| #14564434 | 2 |
| #14562282 | 2 |
| #14561530 | 2 |
| #14561479 | 2 |
| C19×#1486 | 2 |
| #9049 | 19 |