Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
538 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14563732 | C2 | semidirect |
| 4. #14563710 | C2 | semidirect |
| 5. #14561544 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 10. #11926860 | C4 | semidirect |
| 11. #11926855 | C4 | semidirect |
| 55. C2×C4⋊Dic19 | C2×C4 | semidirect |
| 56. C2×C4⋊Dic19 | C2×C4 | semidirect |
| 74. C22⋊(C19⋊C8) | C2×C4 | semidirect |
| 308. C19 | #9525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573571 | 2 |
| #14566402 | 2 |
| #14563732 | 2 |
| #14563710 | 2 |
| #14561544 | 2 |
| #14561487 | 2 |
| C19×#1510 | 2 |
| #9525 | 19 |