Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
954 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 954 conjugacy classes of subgroups — too many to draw. Only its 159 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. #14561521 | C2 | semidirect |
| 4. #14561520 | C2 | semidirect |
| 5. C19×#1297 | C2 | semidirect |
| 7. C2×M16×D19 | C4 | semidirect |
| 10. #11926507 | C4 | semidirect |
| 13. #11926406 | C4 | semidirect |
| 14. #11926403 | C4 | semidirect |
| 157. #1297 | D19 | semidirect |
| 237. C19 | #8049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D19×#407 | 2 |
| #14566016 | 2 |
| #14561521 | 2 |
| #14561520 | 2 |
| C19×#1297 | 2 |
| #8049 | 19 |