Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
406 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14562250 | C2 | semidirect |
| 5. #14561535 | C2 | semidirect |
| 6. #14561507 | C2 | semidirect |
| 7. C19×#1485 | C2 | semidirect |
| 162. #1485 | D19 | semidirect |
| 257. C19 | #9314 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573791 | 2 |
| #14572287 | 2 |
| #14562250 | 2 |
| #14562070 | 2 |
| #14561535 | 2 |
| #14561507 | 2 |
| C19×#1485 | 2 |
| #9314 | 19 |