Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
530 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14566450 | C2 | semidirect |
| 2. #14564555 | C2 | semidirect |
| 3. #14562233 | C2 | semidirect |
| 4. #14562182 | C2 | semidirect |
| 5. #14561501 | C2 | semidirect |
| 6. #14561490 | C2 | semidirect |
| 25. C19×#496 | C4 | semidirect |
| 26. C19×#489 | C4 | semidirect |
| 37. C19×C4⋊Q8 | C2×C4 | semidirect |
| 38. C19×#127 | C2×C4 | semidirect |
| 64. C19×#97 | C2×C4 | semidirect |
| 224. #496 | Dic19 | semidirect |
| 225. #489 | Dic19 | semidirect |
| 259. C4⋊Q8 | C2×Dic19 | semidirect |
| 260. #127 | C2×Dic19 | semidirect |
| 291. #97 | C2×Dic19 | semidirect |
| 300. C19 | #9381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566450 | 2 |
| #14564555 | 2 |
| #14562233 | 2 |
| #14562182 | 2 |
| #14561501 | 2 |
| #14561490 | 2 |
| C19×#3213 | 2 |
| #9381 | 19 |