Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
572 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14563487 | C2 | semidirect |
| 3. #14563379 | C2 | semidirect |
| 4. #14561456 | C2 | semidirect |
| 5. #14561455 | C2 | semidirect |
| 6. #14561455 | C2 | semidirect |
| 7. C19×#1270 | C2 | semidirect |
| 191. #1270 | D19 | semidirect |
| 289. C19 | #7679 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14571989 | 2 |
| #14563487 | 2 |
| #14563379 | 2 |
| #14561456 | 2 |
| #14561455 | 2 |
| C19×#1270 | 2 |
| #7679 | 19 |