Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
442 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14562183 | C2 | semidirect |
| 4. #14562182 | C2 | semidirect |
| 5. #14561506 | C2 | semidirect |
| 6. #14561501 | C2 | semidirect |
| 7. C19×#1536 | C2 | semidirect |
| 9. #11926940 | C4 | semidirect |
| 10. #11926920 | C4 | semidirect |
| 11. #11926892 | C4 | semidirect |
| 12. #11926890 | C4 | semidirect |
| 145. #1536 | D19 | semidirect |
| 234. C19 | #9417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574369 | 2 |
| #14572705 | 2 |
| #14562183 | 2 |
| #14562182 | 2 |
| #14561506 | 2 |
| #14561501 | 2 |
| C19×#1536 | 2 |
| #9417 | 19 |