Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
760 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14564621 | C2 | semidirect |
| 4. #14562155 | C2 | semidirect |
| 5. #14561540 | C2 | semidirect |
| 6. #14561520 | C2 | semidirect |
| 22. C2×C19×#137 | C4 | semidirect |
| 27. C19×#417 | C4 | semidirect |
| 34. C22×Q8×C19 | C2×C4 | semidirect |
| 44. C2×M16×C19 | C2×C4 | semidirect |
| 50. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 227. C2×#137 | Dic19 | semidirect |
| 234. #417 | Dic19 | semidirect |
| 260. C22×Q8 | C2×Dic19 | semidirect |
| 271. C2×M16 | C2×Dic19 | semidirect |
| 279. C2×C4⋊C4 | C2×Dic19 | semidirect |
| 300. C19 | #9361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566465 | 2 |
| #14564621 | 2 |
| #14563579 | 2 |
| #14562155 | 2 |
| #14561540 | 2 |
| #14561520 | 2 |
| C19×#3007 | 2 |
| #9361 | 19 |