Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
436 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14572629 | C2 | semidirect |
| 3. #14562245 | C2 | semidirect |
| 4. #14562194 | C2 | semidirect |
| 5. #14562171 | C2 | semidirect |
| 6. #14561534 | C2 | semidirect |
| 7. C19×#1295 | C2 | semidirect |
| 10. #11926953 | C4 | semidirect |
| 11. #11926933 | C4 | semidirect |
| 12. #11926909 | C4 | semidirect |
| 13. #11926904 | C4 | semidirect |
| 186. #1295 | D19 | semidirect |
| 296. C19 | #9432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574333 | 2 |
| #14572629 | 2 |
| #14562245 | 2 |
| #14562194 | 2 |
| #14562171 | 2 |
| #14561534 | 2 |
| C19×#1295 | 2 |
| #9432 | 19 |