Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
478 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 478 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 |
|---|---|---|
| 3. #14564609 | C2 | semidirect |
| 5. #14561495 | C2 | semidirect |
| 6. #14561465 | C2 | semidirect |
| 7. C19×#1548 | C2 | semidirect |
| 10. #11926940 | C4 | semidirect |
| 11. #11926892 | C4 | semidirect |
| 152. #1548 | D19 | semidirect |
| 239. C19 | #9287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574763 | 2 |
| #14572352 | 2 |
| #14564609 | 2 |
| #14562196 | 2 |
| #14561495 | 2 |
| #14561465 | 2 |
| C19×#1548 | 2 |
| #9287 | 19 |