Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
422 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
| 85. C42×C19 | Q16 | semidirect |
| 217. C19 | #9848 | semidirect |
| 255. C42 | #64528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574217 | 2 |
| #14564612 | 2 |
| #14563381 | 2 |
| #14562393 | 2 |
| #14562090 | 2 |
| #14562089 | 2 |
| C19×#1994 | 2 |
| #9848 | 19 |