Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
522 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 11. #11926880 | C4 | semidirect |
| 14. #11926702 | C4 | semidirect |
| 116. C22⋊Dic19 | Q16 | semidirect |
| 301. C19 | #9276 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574410 | 2 |
| #14566715 | 2 |
| #14564619 | 2 |
| #14562206 | 2 |
| C2×#11926280 | 2 |
| #14561481 | 2 |
| C19×#1294 | 2 |
| #9276 | 19 |