Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
464 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14572697 | C2 | semidirect |
| 2. #14562191 | C2 | semidirect |
| 3. #14562164 | C2 | semidirect |
| 4. #14561995 | C2 | semidirect |
| 5. #14561544 | C2 | semidirect |
| 6. #14561511 | C2 | semidirect |
| 26. C19×#483 | C4 | semidirect |
| 28. C19×#480 | C4 | semidirect |
| 31. C19×#450 | C4 | semidirect |
| 33. C19×#447 | C4 | semidirect |
| 227. #483 | Dic19 | semidirect |
| 229. #480 | Dic19 | semidirect |
| 232. #450 | Dic19 | semidirect |
| 234. #447 | Dic19 | semidirect |
| 313. C19 | #9332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572697 | 2 |
| #14562191 | 2 |
| #14562164 | 2 |
| #14561995 | 2 |
| #14561544 | 2 |
| #14561511 | 2 |
| C19×#3194 | 2 |
| #9332 | 19 |