Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
492 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 492 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 |
|---|---|---|
| 2. #14564580 | C2 | semidirect |
| 4. #14562186 | C2 | semidirect |
| 5. #14561501 | C2 | semidirect |
| 6. #14561490 | C2 | semidirect |
| 25. C19×#497 | C4 | semidirect |
| 26. C19×#489 | C4 | semidirect |
| 36. C19×C4⋊Q8 | C2×C4 | semidirect |
| 37. C19×C4⋊Q8 | C2×C4 | semidirect |
| 64. C19×#97 | C2×C4 | semidirect |
| 208. #497 | Dic19 | semidirect |
| 209. #489 | Dic19 | semidirect |
| 241. C4⋊Q8 | C2×Dic19 | semidirect |
| 242. C4⋊Q8 | C2×Dic19 | semidirect |
| 272. #97 | C2×Dic19 | semidirect |
| 281. C19 | #9379 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566450 | 2 |
| #14564580 | 2 |
| #14562233 | 2 |
| #14562186 | 2 |
| #14561501 | 2 |
| #14561490 | 2 |
| C19×#3215 | 2 |
| #9379 | 19 |