Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
644 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 644 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. #14563570 | C2 | semidirect |
| 3. #14563559 | C2 | semidirect |
| 5. #14561542 | C2 | semidirect |
| 6. #14561511 | C2 | semidirect |
| 28. C19×#451 | C4 | semidirect |
| 30. C19×#448 | C4 | semidirect |
| 254. #451 | Dic19 | semidirect |
| 256. #448 | Dic19 | semidirect |
| 338. C19 | #9519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572683 | 2 |
| #14563570 | 2 |
| #14563559 | 2 |
| #14562178 | 2 |
| #14561542 | 2 |
| #14561511 | 2 |
| C19×#3004 | 2 |
| #9519 | 19 |