Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
574 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14564472 | C2 | semidirect |
| 3. #14564470 | C2 | semidirect |
| 4. #14564063 | C2 | semidirect |
| 5. #14563813 | C2 | semidirect |
| 6. #14561502 | C2 | semidirect |
| 7. C19×#1893 | C2 | semidirect |
| 138. C22⋊Dic19 | D8 | semidirect |
| 225. #1893 | D19 | semidirect |
| 350. C19 | #10564 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574383 | 2 |
| #14564472 | 2 |
| #14564470 | 2 |
| #14564063 | 2 |
| #14563813 | 2 |
| #14561502 | 2 |
| C19×#1893 | 2 |
| #10564 | 19 |