Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
822 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 822 conjugacy classes of subgroups — too many to draw. Only its 155 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. #14566700 | C2 | semidirect |
| 2. #14564563 | C2 | semidirect |
| 3. C2×#11926288 | C2 | semidirect |
| 4. #14561475 | C2 | semidirect |
| 18. C19×#493 | C4 | semidirect |
| 33. C19×#127 | C2×C4 | semidirect |
| 45. C4×C8×C19 | C2×C4 | semidirect |
| 91. C4⋊Dic19 | D8 | semidirect |
| 173. #493 | Dic19 | semidirect |
| 203. #127 | C2×Dic19 | semidirect |
| 218. C4×C8 | C2×Dic19 | semidirect |
| 220. C19 | #9061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566700 | 2 |
| #14564563 | 2 |
| C2×#11926288 | 2 |
| #14561475 | 2 |
| C2×C19×#493 | 2 |
| #9061 | 19 |