Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
444 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 444 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 |
|---|---|---|
| 16. #11926587 | C4 | semidirect |
| 17. #11926587 | C4 | semidirect |
| 19. #11926552 | C4 | semidirect |
| 20. #11926552 | C4 | semidirect |
| 292. C19 | #9346 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573583 | 2 |
| #14572293 | 2 |
| #14562206 | 2 |
| #14561998 | 2 |
| #14561541 | 2 |
| #14561523 | 2 |
| C19×#1825 | 2 |
| #9346 | 19 |