Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
542 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14574947 | C2 | semidirect |
| 2. #14573730 | C2 | semidirect |
| 4. #14564433 | C2 | semidirect |
| 5. #14562245 | C2 | semidirect |
| 6. #14561504 | C2 | semidirect |
| 7. C19×#1531 | C2 | semidirect |
| 182. #1531 | D19 | semidirect |
| 289. C19 | #10027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574947 | 2 |
| #14573730 | 2 |
| #14573727 | 2 |
| #14564433 | 2 |
| #14562245 | 2 |
| #14561504 | 2 |
| C19×#1531 | 2 |
| #10027 | 19 |