Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
540 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 540 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 |
|---|---|---|
| 2. #14572705 | C2 | semidirect |
| 3. #14562349 | C2 | semidirect |
| 4. #14562269 | C2 | semidirect |
| 5. #14561508 | C2 | semidirect |
| 6. #14561506 | C2 | semidirect |
| 7. C19×#1555 | C2 | semidirect |
| 142. #1555 | D19 | semidirect |
| 226. C19 | #9423 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574085 | 2 |
| #14572705 | 2 |
| #14562349 | 2 |
| #14562269 | 2 |
| #14561508 | 2 |
| #14561506 | 2 |
| C19×#1555 | 2 |
| #9423 | 19 |