Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
474 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 10. #11926836 | C4 | semidirect |
| 11. #11926751 | C4 | semidirect |
| 112. C4×Dic19 | Q16 | semidirect |
| 248. C19 | #9236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573670 | 2 |
| #14566109 | 2 |
| #14564613 | 2 |
| #14562065 | 2 |
| #14561538 | 2 |
| #14561467 | 2 |
| C19×#1503 | 2 |
| #9236 | 19 |