Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
374 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 9. #11926947 | C4 | semidirect |
| 10. #11926923 | C4 | semidirect |
| 11. #11926896 | C4 | semidirect |
| 12. #11926894 | C4 | semidirect |
| 242. C19 | #9765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574217 | 2 |
| #14563388 | 2 |
| #14562396 | 2 |
| #14562249 | 2 |
| #14562148 | 2 |
| #14562147 | 2 |
| C19×#1531 | 2 |
| #9765 | 19 |