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. #14572624 | C2 | semidirect |
| 3. #14562246 | C2 | semidirect |
| 4. #14562171 | C2 | semidirect |
| 5. #14561535 | C2 | semidirect |
| 6. #14561516 | C2 | semidirect |
| 7. C19×#1517 | C2 | semidirect |
| 9. #11926950 | C4 | semidirect |
| 10. #11926931 | C4 | semidirect |
| 11. #11926908 | C4 | semidirect |
| 12. #11926906 | C4 | semidirect |
| 183. #1517 | 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 |
|---|---|
| #14574327 | 2 |
| #14572624 | 2 |
| #14562246 | 2 |
| #14562171 | 2 |
| #14561535 | 2 |
| #14561516 | 2 |
| C19×#1517 | 2 |
| #9432 | 19 |