Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
480 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14561488 | C2 | semidirect |
| 10. #11926412 | C4 | semidirect |
| 12. #11926404 | C4 | semidirect |
| 15. #11926390 | C4 | semidirect |
| 16. C2×C19⋊#95 | C4 | semidirect |
| 228. C19 | #8776 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566575 | 2 |
| #14561973 | 2 |
| #14561521 | 2 |
| #14561488 | 2 |
| C4×C19×#99 | 2 |
| #8776 | 19 |