Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
318 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 318 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. #11926292 | C4 | semidirect |
| 17. #11926292 | C4 | semidirect |
| 18. #11926291 | C4 | semidirect |
| 19. #11926291 | C4 | semidirect |
| 211. C19 | #9591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564578 | 2 |
| #14564408 | 2 |
| #14562290 | 2 |
| #14562089 | 2 |
| #14561925 | 2 |
| #14561476 | 2 |
| C19×#1303 | 2 |
| #9591 | 19 |