Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
648 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 648 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 |
|---|---|---|
| 2. #14566685 | C2 | semidirect |
| 3. #14564471 | C2 | semidirect |
| 4. #14562204 | C2 | semidirect |
| 5. C2×#11926279 | C2 | semidirect |
| 6. #14561515 | C2 | semidirect |
| 7. C19×#1282 | C2 | semidirect |
| 12. #11926858 | C4 | semidirect |
| 15. #11926680 | C4 | semidirect |
| 35. C22×D76 | C2×C4 | semidirect |
| 58. C2×C4⋊Dic19 | C2×C4 | semidirect |
| 68. C19×C22⋊C8 | C2×C4 | semidirect |
| 130. C22⋊C4×C19 | D8 | semidirect |
| 225. #1282 | D19 | semidirect |
| 342. C22⋊C8 | C4×D19 | semidirect |
| 350. C19 | #9277 | semidirect |
| 416. C22⋊C4 | D152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574386 | 2 |
| #14566685 | 2 |
| #14564471 | 2 |
| #14562204 | 2 |
| C2×#11926279 | 2 |
| #14561515 | 2 |
| C19×#1282 | 2 |
| #9277 | 19 |