Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
364 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 364 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 |
|---|---|---|
| 2. #14562409 | C2 | semidirect |
| 5. #14561532 | C2 | semidirect |
| 6. #14561468 | C2 | semidirect |
| 7. C19×#1767 | C2 | semidirect |
| 15. #11926291 | C4 | semidirect |
| 16. #11926287 | C4 | semidirect |
| 132. #1767 | D19 | semidirect |
| 209. C19 | #9581 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564463 | 2 |
| #14562409 | 2 |
| #14562285 | 2 |
| #14562033 | 2 |
| #14561532 | 2 |
| #14561468 | 2 |
| C19×#1767 | 2 |
| #9581 | 19 |