Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 12. #11926266 | C4 | semidirect |
| 13. #11926266 | C4 | semidirect |
| 14. #11926265 | C4 | semidirect |
| 15. C8×C19⋊C8 | C4 | semidirect |
| 145. C19 | #8803 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14561938 | 2 |
| #14561508 | 2 |
| #14561506 | 2 |
| #14561501 | 2 |
| #14561500 | 2 |
| C19×#1291 | 2 |
| #8803 | 19 |