Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
644 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #14563559 | C2 | semidirect |
| 5. #14561541 | C2 | semidirect |
| 6. #14561512 | C2 | semidirect |
| 7. C19×#1787 | C2 | semidirect |
| 11. #11926700 | C4 | semidirect |
| 13. #11926683 | C4 | semidirect |
| 219. #1787 | D19 | semidirect |
| 338. C19 | #9519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572869 | 2 |
| #14572680 | 2 |
| #14563559 | 2 |
| #14562176 | 2 |
| #14561541 | 2 |
| #14561512 | 2 |
| C19×#1787 | 2 |
| #9519 | 19 |