Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
486 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 4. #14562134 | C2 | semidirect |
| 5. #14561534 | C2 | semidirect |
| 6. #14561490 | C2 | semidirect |
| 7. C19×#1531 | C2 | semidirect |
| 10. #11926821 | C4 | semidirect |
| 11. #11926821 | C4 | semidirect |
| 12. #11926746 | C4 | semidirect |
| 13. #11926746 | C4 | semidirect |
| 182. #1531 | D19 | semidirect |
| 292. C19 | #9165 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573730 | 2 |
| #14572672 | 2 |
| #14563461 | 2 |
| #14562134 | 2 |
| #14561534 | 2 |
| #14561490 | 2 |
| C19×#1531 | 2 |
| #9165 | 19 |