Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
498 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 498 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 |
|---|---|---|
| 2. #14572771 | C2 | semidirect |
| 3. #14562349 | C2 | semidirect |
| 4. #14562158 | C2 | semidirect |
| 5. #14561505 | C2 | semidirect |
| 6. #14561491 | C2 | semidirect |
| 7. C19×#1982 | C2 | semidirect |
| 9. #11926931 | C4 | semidirect |
| 10. #11926908 | C4 | semidirect |
| 185. #1982 | D19 | semidirect |
| 297. C19 | #9378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574653 | 2 |
| #14572771 | 2 |
| #14562349 | 2 |
| #14562158 | 2 |
| #14561505 | 2 |
| #14561491 | 2 |
| C19×#1982 | 2 |
| #9378 | 19 |