Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
678 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 678 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 |
|---|---|---|
| 2. #14562295 | C2 | semidirect |
| 3. #14562269 | C2 | semidirect |
| 4. #14562070 | C2 | semidirect |
| 5. #14562067 | C2 | semidirect |
| 6. #14561991 | C2 | semidirect |
| 7. C19×#1470 | C2 | semidirect |
| 241. #1470 | D19 | semidirect |
| 383. C19 | #8476 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14577559 | 2 |
| #14562295 | 2 |
| #14562269 | 2 |
| #14562070 | 2 |
| #14562067 | 2 |
| #14561991 | 2 |
| C19×#1470 | 2 |
| #8476 | 19 |