Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
516 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14564613 | C2 | semidirect |
| 4. C4×C8×Dic19 | C2 | semidirect |
| 5. #14562390 | C2 | semidirect |
| 7. C19×#1493 | C2 | semidirect |
| 9. #11926940 | C4 | semidirect |
| 10. #11926918 | C4 | semidirect |
| 11. #11926894 | C4 | semidirect |
| 12. #11926892 | C4 | semidirect |
| 104. C4×Dic19 | SD16 | semidirect |
| 142. C19⋊C8 | #104 | semidirect |
| 148. #1493 | D19 | semidirect |
| 231. C19 | #9843 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574195 | 2 |
| #14564613 | 2 |
| #14564462 | 2 |
| C4×C8×Dic19 | 2 |
| #14562390 | 2 |
| #14562087 | 2 |
| C19×#1493 | 2 |
| #9843 | 19 |