Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1060 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 1060 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#11926677 | C2 | semidirect |
| 2. #14567273 | C2 | semidirect |
| 3. #14564472 | C2 | semidirect |
| 4. #14563567 | C2 | semidirect |
| 5. #14562203 | C2 | semidirect |
| 6. #14561482 | C2 | semidirect |
| 7. C19×#3186 | C2 | semidirect |
| 35. C22×D4×C19 | D4 | semidirect |
| 46. C22×C8×C19 | D4 | semidirect |
| 56. C2×C4⋊C4×C19 | D4 | semidirect |
| 79. C22⋊(C19⋊C8) | D4 | semidirect |
| 146. C22⋊Dic19 | D8 | semidirect |
| 222. #3186 | D19 | semidirect |
| 311. C22×D4 | C22⋊D19 | semidirect |
| 317. C22×C8 | C22⋊D19 | semidirect |
| 331. C2×C4⋊C4 | C22⋊D19 | semidirect |
| 350. C19 | #9946 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926677 | 2 |
| #14567273 | 2 |
| #14564472 | 2 |
| #14563567 | 2 |
| #14562203 | 2 |
| #14561482 | 2 |
| C19×#3186 | 2 |
| #9946 | 19 |