Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
376 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 376 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. C4⋊C8×Dic19 | C2 | semidirect |
| 3. #14562410 | C2 | semidirect |
| 5. #14561532 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 21. C19×#332 | C4 | semidirect |
| 22. C19×#331 | C4 | semidirect |
| 169. #332 | Dic19 | semidirect |
| 170. #331 | Dic19 | semidirect |
| 209. C19 | #9577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564464 | 2 |
| C4⋊C8×Dic19 | 2 |
| #14562410 | 2 |
| #14562034 | 2 |
| #14561532 | 2 |
| #14561467 | 2 |
| C19×#1540 | 2 |
| #9577 | 19 |