Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
652 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 652 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 1. #14574580 | C2 | semidirect |
| 4. #14562317 | C2 | semidirect |
| 6. #14561468 | C2 | semidirect |
| 7. C19×#1994 | C2 | semidirect |
| 158. #1994 | D19 | semidirect |
| 248. C19 | #10291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574580 | 2 |
| #14574573 | 2 |
| #14571992 | 2 |
| #14562317 | 2 |
| #14562304 | 2 |
| #14561468 | 2 |
| C19×#1994 | 2 |
| #10291 | 19 |