Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
526 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 526 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. #14561517 | C2 | semidirect |
| 4. #14561516 | C2 | semidirect |
| 5. C19×#1295 | C2 | semidirect |
| 127. #1295 | D19 | semidirect |
| 196. C19 | #8721 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566041 | 2 |
| #14563398 | 2 |
| #14561517 | 2 |
| #14561516 | 2 |
| C19×#1295 | 2 |
| #8721 | 19 |